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Abstract algebra
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645
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645
1. Abstract algebra stubs
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Abstract algebra
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1.1. Algebraic geometry stubs
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Abstract algebra stubs
1.2. Category theory stubs
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Abstract algebra stubs
1.3. Commutative algebra stubs
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Abstract algebra stubs
1.4. Group theory stubs
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Abstract algebra stubs
1.5. Abel's irreducibility theorem
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Abstract algebra stubs
1.6. Alperin–Brauer–Gorenstein theorem
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1.7. Andreotti–Grauert theorem
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1.8. Aperiodic semigroup
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Abstract algebra stubs
1.9. Arf semigroup
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Abstract algebra stubs
1.10. Arithmetical ring
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Abstract algebra stubs
1.11. Artin–Zorn theorem
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Abstract algebra stubs
1.12. Auslander algebra
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Abstract algebra stubs
1.13. Automorphism of a Lie algebra
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Abstract algebra stubs
1.14. Baer–Suzuki theorem
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Abstract algebra stubs
1.15. Brandt semigroup
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1.16. Brauer–Fowler theorem
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Abstract algebra stubs
1.17. Brauer–Nesbitt theorem
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Abstract algebra stubs
1.18. Brauer–Suzuki theorem
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Abstract algebra stubs
1.19. Brauer–Suzuki–Wall theorem
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Abstract algebra stubs
1.20. CAT(k) group
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Abstract algebra stubs
1.21. CEP subgroup
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Abstract algebra stubs
1.22. Carnot group
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1.23. Cartan–Brauer–Hua theorem
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Abstract algebra stubs
1.24. Cartan–Dieudonné theorem
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Abstract algebra stubs
1.25. Chinese monoid
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Abstract algebra stubs
1.26. Clean ring
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Abstract algebra stubs
1.27. Clifford semigroup
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Abstract algebra stubs
1.28. Cocompact group action
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Abstract algebra stubs
1.29. Complemented group
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Abstract algebra stubs
1.30. Complete field
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Abstract algebra stubs
1.31. Component theorem
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Abstract algebra stubs
1.32. Composite field (mathematics)
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Abstract algebra stubs
1.33. Congruence-permutable algebra
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Abstract algebra stubs
1.34. Conjugacy-closed subgroup
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Abstract algebra stubs
1.35. Dedekind-finite ring
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Abstract algebra stubs
1.36. Duflo isomorphism
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Abstract algebra stubs
1.37. Fitting's theorem
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1.38. Fontaine–Mazur conjecture
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Abstract algebra stubs
1.39. Free ideal ring
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Abstract algebra stubs
1.40. Freudenthal algebra
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Abstract algebra stubs
1.41. Gelfand ring
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Abstract algebra stubs
1.42. Goldie's theorem
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Abstract algebra stubs
1.43. Goncharov conjecture
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Abstract algebra stubs
1.44. Gorenstein–Walter theorem
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Abstract algebra stubs
1.45. Grade (ring theory)
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Abstract algebra stubs
1.46. Grothendieck's connectedness theorem
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Abstract algebra stubs
1.47. Grothendieck existence theorem
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Abstract algebra stubs
1.48. Group isomorphism problem
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Abstract algebra stubs
1.49. Hereditary ring
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Abstract algebra stubs
1.50. Hochschild–Mostow group
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Abstract algebra stubs
1.51. Hyper-finite field
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Abstract algebra stubs
1.52. Idempotent analysis
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Abstract algebra stubs
1.53. Inner form
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Abstract algebra stubs
1.54. Irreducible ideal
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Abstract algebra stubs
1.55. Isomorphism extension theorem
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Abstract algebra stubs
1.56. Itô's theorem
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Abstract algebra stubs
1.57. Jacobi group
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1.58. Jaffard ring
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Abstract algebra stubs
1.59. Johnson–Wilson theory
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1.60. Karoubi conjecture
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1.61. Kawamata–Viehweg vanishing theorem
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1.62. Kummer variety
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1.63. Kurosh problem
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1.64. Luna's slice theorem
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1.65. Marot ring
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1.66. Metabelian group
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1.67. Metacyclic group
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Abstract algebra stubs
1.68. Milnor–Moore theorem
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1.69. Naimark equivalence
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Abstract algebra stubs
1.70. Nakayama's conjecture
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1.71. Neukirch–Uchida theorem
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1.72. Opposite ring
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1.73. Ordered semigroup
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Abstract algebra stubs
1.74. Orthomorphism
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Abstract algebra stubs
1.75. Permutation representation
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Abstract algebra stubs
1.76. Petersson algebra
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1.77. Postnikov square
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1.78. Preradical
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Abstract algebra stubs
1.79. Primary extension
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Abstract algebra stubs
1.80. Primitive element (finite field)
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1.81. Principal factor
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1.82. Protorus
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Abstract algebra stubs
1.83. Quantum affine algebra
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Abstract algebra stubs
1.84. Quasi-compact morphism
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Abstract algebra stubs
1.85. Quasi-triangular quasi-Hopf algebra
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1.86. Regev's theorem
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Abstract algebra stubs
1.87. Regular extension
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Abstract algebra stubs
1.88. Residual property (mathematics)
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1.89. Rigid cohomology
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1.90. Ring class field
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Abstract algebra stubs
1.91. Ring spectrum
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Abstract algebra stubs
1.92. SBI ring
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Abstract algebra stubs
1.93. Schreier conjecture
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Abstract algebra stubs
1.94. Schreier domain
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1.95. Schreier refinement theorem
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1.96. Semiprimitive ring
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Abstract algebra stubs
1.97. Shafarevich's theorem on solvable Galois groups
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Abstract algebra stubs
1.98. Slender group
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Abstract algebra stubs
1.99. Springer resolution
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1.100. Stability group
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1.101. Stably finite ring
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1.102. Steenrod homology
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Abstract algebra stubs
1.103. Subrepresentation
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1.104. Superperfect group
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Abstract algebra stubs
1.105. Supersolvable group
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1.106. Sylvester domain
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1.107. Symmetric inverse semigroup
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1.108. Ternary commutator
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Abstract algebra stubs
1.109. Thompson transitivity theorem
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1.110. Thompson uniqueness theorem
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1.111. Torsion abelian group
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1.112. Torsion group
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1.113. Tropical analysis
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1.114. Warfield group
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1.115. Weak inverse
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1.116. Weakly normal subgroup
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1.117. Wonderful compactification
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1.118. ZJ theorem
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1.119. Zeeman's comparison theorem
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1.120. Zerosumfree monoid
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1.121. Zorn ring
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Abstract algebra stubs
2. Algebraic properties of elements
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Abstract algebra
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2.1. Absorbing element
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Algebraic properties of elements
2.2. Cancellation property
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Algebraic properties of elements
2.3. Epimorphism
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Algebraic properties of elements
2.4. Idempotence
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Algebraic properties of elements
2.5. Identity element
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Algebraic properties of elements
2.6. Involution (mathematics)
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Algebraic properties of elements
2.7. Irreducible element
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Algebraic properties of elements
2.8. Monomorphism
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Algebraic properties of elements
2.9. Nilpotent
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Algebraic properties of elements
2.10. Order (group theory)
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Algebraic properties of elements
2.11. Unit (ring theory)
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Algebraic properties of elements
3. Algebraic structures
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Abstract algebra
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3.1. Algebras
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Algebraic structures
3.2. Coalgebras
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Algebraic structures
3.3. Finite groups
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Algebraic structures
3.4. Hypercomplex numbers
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Algebraic structures
3.5. Lie groups
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Algebraic structures
3.6. Non-associative algebra
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Algebraic structures
3.7. Ockham algebras
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Algebraic structures
3.8. Ordered algebraic structures
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Algebraic structures
3.9. Properties of groups
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Algebraic structures
3.10. Action algebra
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Algebraic structures
3.11. Additive group
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Algebraic structures
3.12. Affine monoid
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Algebraic structures
3.13. BCK algebra
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Algebraic structures
3.14. BF-algebra
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Algebraic structures
3.15. Band (algebra)
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Algebraic structures
3.16. Baumslag–Gersten group
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Algebraic structures
3.17. Biordered set
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Algebraic structures
3.18. Biracks and biquandles
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Algebraic structures
3.19. Boolean algebra (structure)
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Algebraic structures
3.20. Cancellative semigroup
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Algebraic structures
3.21. Category (mathematics)
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Algebraic structures
3.22. Class of groups
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Algebraic structures
3.23. Commutative ring
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Algebraic structures
3.24. Complete Heyting algebra
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Algebraic structures
3.25. Completely regular semigroup
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Algebraic structures
3.26. Composition ring
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Algebraic structures
3.27. Convex space
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Algebraic structures
3.28. Damm algorithm
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Algebraic structures
3.29. Domain (ring theory)
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Algebraic structures
3.30. Double groupoid
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Algebraic structures
3.31. E-dense semigroup
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Algebraic structures
3.32. E-semigroup
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Algebraic structures
3.33. Effect algebra
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Algebraic structures
3.34. Elliptic algebra
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Algebraic structures
3.35. Empty semigroup
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Algebraic structures
3.36. Epigroup
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Algebraic structures
3.37. Essential dimension
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Algebraic structures
3.38. Exponential field
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Algebraic structures
3.39. Finite lattice representation problem
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Algebraic structures
3.40. Finitely generated abelian group
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Algebraic structures
3.41. Generic matrix ring
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Algebraic structures
3.42. Grothendieck group
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Algebraic structures
3.43. Group (mathematics)
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Algebraic structures
3.44. Groupoid
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Algebraic structures
3.45. Hardy field
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Algebraic structures
3.46. Ideal (ring theory)
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Algebraic structures
3.47. Integral closure of an ideal
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Algebraic structures
3.48. Integral element
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Algebraic structures
3.49. Interior algebra
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Algebraic structures
3.50. Inverse semigroup
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Algebraic structures
3.51. J-structure
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Algebraic structures
3.52. Jónsson–Tarski algebra
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Algebraic structures
3.53. Kasch ring
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Algebraic structures
3.54. Kleene algebra
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Algebraic structures
3.55. Lattice (order)
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Algebraic structures
3.56. Lindenbaum–Tarski algebra
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Algebraic structures
3.57. MV-algebra
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Algebraic structures
3.58. Magma (algebra)
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Algebraic structures
3.59. Matrix field
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Algebraic structures
3.60. Matrix ring
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Algebraic structures
3.61. Module (mathematics)
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Algebraic structures
3.62. Monogenic semigroup
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Algebraic structures
3.63. Monoid
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Algebraic structures
3.64. Monus
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Algebraic structures
3.65. Moufang polygon
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Algebraic structures
3.66. Multiplicative group
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Algebraic structures
3.67. N-ary group
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Algebraic structures
3.68. Near-field (mathematics)
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Algebraic structures
3.69. Near-ring
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Algebraic structures
3.70. Near-semiring
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Algebraic structures
3.71. Nowhere commutative semigroup
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Algebraic structures
3.72. Numerical semigroup
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Algebraic structures
3.73. Ordered exponential field
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Algebraic structures
3.74. Outline of algebraic structures
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Algebraic structures
3.75. Overring
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Algebraic structures
3.76. Partial algebra
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Algebraic structures
3.77. Partial groupoid
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Algebraic structures
3.78. Planar ternary ring
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Algebraic structures
3.79. Pointed set
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Algebraic structures
3.80. Primitive ring
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Algebraic structures
3.81. Pseudo-ring
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Algebraic structures
3.82. Pseudogroup
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Algebraic structures
3.83. Quantum differential calculus
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Algebraic structures
3.84. Quantum groupoid
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Algebraic structures
3.85. Rational monoid
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Algebraic structures
3.86. Regular semigroup
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Algebraic structures
3.87. Right group
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Algebraic structures
3.88. Ring (mathematics)
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Algebraic structures
3.89. Rng (algebra)
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Algebraic structures
3.90. Semifield
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Algebraic structures
3.91. Semigroup
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Algebraic structures
3.92. Semigroup with involution
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Algebraic structures
3.93. Semigroup with three elements
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Algebraic structures
3.94. Semigroup with two elements
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Algebraic structures
3.95. Semigroupoid
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Algebraic structures
3.96. Semilattice
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Algebraic structures
3.97. Semimodule
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Algebraic structures
3.98. Semiring
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Algebraic structures
3.99. Simplicial commutative ring
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Algebraic structures
3.100. Special classes of semigroups
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Algebraic structures
3.101. Torsion-free abelian group
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Algebraic structures
3.102. Trivial semigroup
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Algebraic structures
3.103. Variety of finite semigroups
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Algebraic structures
4. Binary operations
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Abstract algebra
35
4.1. Bilinear maps
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Binary operations
4.2. Binary relations
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Binary operations
4.3. Comparison (mathematical)
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Binary operations
4.4. Logical connectives
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Binary operations
4.5. Operations on numbers
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Binary operations
4.6. Operations on sets
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Binary operations
4.7. Operations on structures
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Binary operations
4.8. Operations on vectors
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Binary operations
4.9. Properties of binary operations
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Binary operations
4.10. Barrel shifter
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Binary operations
4.11. Binary operation
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Binary operations
4.12. Blaschke sum
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Binary operations
4.13. Cap product
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Binary operations
4.14. Circular convolution
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Binary operations
4.15. Composition of relations
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Binary operations
4.16. Courant bracket
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Binary operations
4.17. Cup product
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Binary operations
4.18. DE-9IM
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Binary operations
4.19. Demonic composition
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Binary operations
4.20. Elvis operator
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Binary operations
4.21. Exponentiation
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Binary operations
4.22. Ext functor
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Binary operations
4.23. Function composition
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Binary operations
4.24. Iterated binary operation
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Binary operations
4.25. Join and meet
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Binary operations
4.26. Logic alphabet
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Binary operations
4.27. Logical consequence
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Binary operations
4.28. Mean operation
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Binary operations
4.29. Minkowski addition
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Binary operations
4.30. Modular multiplicative inverse
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Binary operations
4.31. Null coalescing operator
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Binary operations
4.32. Pointwise product
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Binary operations
4.33. Relational operator
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Binary operations
4.34. Tor functor
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Binary operations
4.35. Wreath product
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Binary operations
5. Morphisms
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Abstract algebra
26
5.1. Homeomorphisms
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Morphisms
5.2. Isomorphism theorems
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Morphisms
5.3. Morphisms of schemes
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Morphisms
5.4. Additive map
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Morphisms
5.5. Algebra homomorphism
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Morphisms
5.6. Antihomomorphism
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Morphisms
5.7. Catamorphism
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Morphisms
5.8. Diagonal morphism
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Morphisms
5.9. Endomorphism
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Morphisms
5.10. Finite morphism
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Morphisms
5.11. Graph homomorphism
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Morphisms
5.12. Graph isomorphism
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Morphisms
5.13. Graph isomorphism problem
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Morphisms
5.14. Group homomorphism
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Morphisms
5.15. Group isomorphism
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Morphisms
5.16. Homomorphism
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Morphisms
5.17. Isomorphism
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Morphisms
5.18. Morphism
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Morphisms
5.19. Morphism of finite type
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Morphisms
5.20. Normal homomorphism
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Morphisms
5.21. Normal morphism
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Morphisms
5.22. Order isomorphism
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Morphisms
5.23. Orientation character
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Morphisms
5.24. Ring homomorphism
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Morphisms
5.25. Unramified morphism
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Morphisms
5.26. Zero morphism
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Morphisms
6. Process calculi
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Abstract algebra
19
6.1. API-Calculus
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Process calculi
6.2. Actor model and process calculi
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Process calculi
6.3. Actor model and process calculi history
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Process calculi
6.4. Algebra of communicating processes
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Process calculi
6.5. Ambient calculus
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Process calculi
6.6. Calculus of broadcasting systems
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Process calculi
6.7. Calculus of communicating systems
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Process calculi
6.8. Communicating sequential processes
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Process calculi
6.9. Construction and Analysis of Distributed Processes
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Process calculi
6.10. E-LOTOS
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Process calculi
6.11. Join-calculus
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Process calculi
6.12. Language Of Temporal Ordering Specification
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Process calculi
6.13. MCRL2
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Process calculi
6.14. PEPA
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Process calculi
6.15. Process calculus
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Process calculi
6.16. Stochastic probe
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Process calculi
6.17. Temporal Process Language
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Process calculi
6.18. Unbounded nondeterminism
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Process calculi
6.19. Π-calculus
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Process calculi
7. Scalars
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Abstract algebra
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7.1. Determinants
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Scalars
7.2. Norms (mathematics)
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Scalars
7.3. Scalar physical quantities
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Scalars
7.4. Directional derivative
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Scalars
7.5. Dot product
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Scalars
7.6. Lorentz scalar
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Scalars
7.7. Pseudoscalar
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Scalars
7.8. Relative scalar
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Scalars
7.9. Scalar (mathematics)
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Scalars
7.10. Scalar field theory
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Scalars
8. Ternary operations
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Abstract algebra
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8.1. Conditioned disjunction
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Ternary operations
8.2. Heap (mathematics)
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Ternary operations
8.3. Massey product
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Ternary operations
8.4. Ternary conditional operator
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Ternary operations
8.5. Ternary operation
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Ternary operations
8.6. Triple product
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Ternary operations
9. Theorems in abstract algebra
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Abstract algebra
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9.1. Theorems about algebras
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Theorems in abstract algebra
9.2. Theorems in algebraic geometry
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Theorems in abstract algebra
9.3. Theorems in algebraic number theory
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Theorems in abstract algebra
9.4. Theorems in algebraic topology
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Theorems in abstract algebra
9.5. Theorems in group theory
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Theorems in abstract algebra
9.6. Theorems in lattice theory
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Theorems in abstract algebra
9.7. Theorems in representation theory
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Theorems in abstract algebra
9.8. Theorems in ring theory
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Theorems in abstract algebra
9.9. Abhyankar's conjecture
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Theorems in abstract algebra
9.10. Abhyankar's inequality
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Theorems in abstract algebra
9.11. Abhyankar's lemma
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Theorems in abstract algebra
9.12. Cartan's theorem
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Theorems in abstract algebra
9.13. Dimension theorem for vector spaces
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Theorems in abstract algebra
9.14. Dold–Kan correspondence
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Theorems in abstract algebra
9.15. Eckmann–Hilton argument
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Theorems in abstract algebra
9.16. Fundamental lemma (Langlands program)
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Theorems in abstract algebra
9.17. Fundamental theorem on homomorphisms
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Theorems in abstract algebra
9.18. Gabriel–Popescu theorem
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Theorems in abstract algebra
9.19. Generic flatness
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Theorems in abstract algebra
9.20. Joubert's theorem
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Theorems in abstract algebra
9.21. Latimer–MacDuffee theorem
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Theorems in abstract algebra
9.22. Primitive element theorem
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Theorems in abstract algebra
9.23. Quillen–Suslin theorem
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Theorems in abstract algebra
9.24. Segal's conjecture
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Theorems in abstract algebra
9.25. Strassmann's theorem
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Theorems in abstract algebra
9.26. Structure theorem for finitely generated modules over a principal ideal domain
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Theorems in abstract algebra
9.27. Whitehead's lemma
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Theorems in abstract algebra
10. Vectors (mathematics and physics)
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Abstract algebra
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10.1. Four-vectors
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Vectors (mathematics and physics)
10.2. Topological vector spaces
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Vectors (mathematics and physics)
10.3. Vector calculus
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Vectors (mathematics and physics)
10.4. Vector physical quantities
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Vectors (mathematics and physics)
10.5. 4D vector
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Vectors (mathematics and physics)
10.6. Burgers vector
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split
Vectors (mathematics and physics)
10.7. Complex conjugate of a vector space
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Vectors (mathematics and physics)
10.8. Coordinate vector
link
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Vectors (mathematics and physics)
10.9. Covariance and contravariance of vectors
link
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Vectors (mathematics and physics)
10.10. Darboux vector
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Vectors (mathematics and physics)
10.11. Dimension (vector space)
link
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Vectors (mathematics and physics)
10.12. Direction cosine
link
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Vectors (mathematics and physics)
10.13. Distance from a point to a line
link
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Vectors (mathematics and physics)
10.14. Eccentricity vector
link
split
Vectors (mathematics and physics)
10.15. Equipollence (geometry)
link
split
Vectors (mathematics and physics)
10.16. Eutactic star
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Vectors (mathematics and physics)
10.17. Four-vector
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Vectors (mathematics and physics)
10.18. Indicator vector
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Vectors (mathematics and physics)
10.19. Infinite-dimensional vector function
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Vectors (mathematics and physics)
10.20. Laplace–Runge–Lenz vector
link
split
Vectors (mathematics and physics)
10.21. Modeshape
link
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Vectors (mathematics and physics)
10.22. Orbital state vectors
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Vectors (mathematics and physics)
10.23. Poynting vector
link
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Vectors (mathematics and physics)
10.24. Probability vector
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Vectors (mathematics and physics)
10.25. Pseudovector
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Vectors (mathematics and physics)
10.26. Right-hand rule
link
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Vectors (mathematics and physics)
10.27. Row and column vectors
link
split
Vectors (mathematics and physics)
10.28. Stokes' theorem
link
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Vectors (mathematics and physics)
10.29. Tangent vector
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Vectors (mathematics and physics)
10.30. Unit vector
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Vectors (mathematics and physics)
10.31. Vector-valued function
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split
Vectors (mathematics and physics)
10.32. Vector (mathematics and physics)
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split
Vectors (mathematics and physics)
10.33. Vector area
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Vectors (mathematics and physics)
10.34. Vector notation
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split
Vectors (mathematics and physics)
10.35. Vector space
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split
Vectors (mathematics and physics)
11. Absolute value (algebra)
link
split
Abstract algebra
12. Absolutely convex set
link
split
Abstract algebra
13. Absorption law
link
split
Abstract algebra
14. Additive identity
link
split
Abstract algebra
15. Additive inverse
link
split
Abstract algebra
16. Algebraic element
link
split
Abstract algebra
17. Algebraic independence
link
split
Abstract algebra
18. Algebraic structure
link
split
Abstract algebra
19. Arity
link
split
Abstract algebra
20. Automorphism
link
split
Abstract algebra
21. A∞-operad
link
split
Abstract algebra
22. Bendixson's inequality
link
split
Abstract algebra
23. Bifundamental representation
link
split
Abstract algebra
24. Bilinear form
link
split
Abstract algebra
25. Canonical basis
link
split
Abstract algebra
26. Cauchy sequence
link
split
Abstract algebra
27. Center (algebra)
link
split
Abstract algebra
28. Centralizer and normalizer
link
split
Abstract algebra
29. Closure (mathematics)
link
split
Abstract algebra
30. Closure with a twist
link
split
Abstract algebra
31. Coimage
link
split
Abstract algebra
32. Cokernel
link
split
Abstract algebra
33. Commutator
link
split
Abstract algebra
34. Conditional event algebra
link
split
Abstract algebra
35. Conformal linear transformation
link
split
Abstract algebra
36. Cover (algebra)
link
split
Abstract algebra
37. Cycle graph (algebra)
link
split
Abstract algebra
38. Cyclic vector
link
split
Abstract algebra
39. Dimension
link
split
Abstract algebra
48
39.1. Coordinate systems by dimensions
link
split
Dimension
39.2. Dimension reduction
link
split
Dimension
39.3. Dimension theory
link
split
Dimension
39.4. Fictional dimensions
link
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Dimension
39.5. Spacetime
link
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Dimension
39.6. Time
link
split
Dimension
39.7. 2.5D
link
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Dimension
39.8. 2 1/2-dimensional manufacturing
link
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Dimension
39.9. Abscissa and ordinate
link
split
Dimension
39.10. Bernstein's problem
link
split
Dimension
39.11. Codimension
link
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Dimension
39.12. Complex dimension
link
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Dimension
39.13. Concentration dimension
link
split
Dimension
39.14. Curse of dimensionality
link
split
Dimension
39.15. Degrees of freedom
link
split
Dimension
39.16. Degrees of freedom (physics and chemistry)
link
split
Dimension
39.17. Dimension of an algebraic variety
link
split
Dimension
39.18. Dimension theory (algebra)
link
split
Dimension
39.19. Dimensional metrology
link
split
Dimension
39.20. Eight-dimensional space
link
split
Dimension
39.21. Euclidean plane
link
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Dimension
39.22. Exterior dimension
link
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Dimension
39.23. Extra dimensions
link
split
Dimension
39.24. FinVect
link
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Dimension
39.25. Five-dimensional space
link
split
Dimension
39.26. Flatland
link
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Dimension
39.27. Four-dimensional space
link
split
Dimension
39.28. Fourth dimension in art
link
split
Dimension
39.29. Fourth dimension in literature
link
split
Dimension
39.30. Global dimension
link
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Dimension
39.31. Interdimensional
link
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Dimension
39.32. Isoperimetric dimension
link
split
Dimension
39.33. Kaplan–Yorke conjecture
link
split
Dimension
39.34. Kodaira dimension
link
split
Dimension
39.35. Krull dimension
link
split
Dimension
39.36. Matroid rank
link
split
Dimension
39.37. Minkowski content
link
split
Dimension
39.38. Multiple time dimensions
link
split
Dimension
39.39. One-dimensional space
link
split
Dimension
39.40. Poppy-seed bagel theorem
link
split
Dimension
39.41. Regular sequence
link
split
Dimension
39.42. Relative canonical model
link
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Dimension
39.43. Relative dimension
link
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Dimension
39.44. Seven-dimensional space
link
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Dimension
39.45. Six-dimensional space
link
split
Dimension
39.46. String theory
link
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Dimension
39.47. Vapnik–Chervonenkis dimension
link
split
Dimension
39.48. Zero-dimensional space
link
split
Dimension
40. Direct limit
link
split
Abstract algebra
41. Direct product
link
split
Abstract algebra
42. Direct sum
link
split
Abstract algebra
43. Dixmier conjecture
link
split
Abstract algebra
44. Eigenvalues and eigenvectors
link
split
Abstract algebra
45. Embedding
link
split
Abstract algebra
46. Emmy Noether bibliography
link
split
Abstract algebra
47. Euclidean vector
link
split
Abstract algebra
48. Expression (mathematics)
link
split
Abstract algebra
49. External (mathematics)
link
split
Abstract algebra
50. E∞-operad
link
split
Abstract algebra
51. Faltings' annihilator theorem
link
split
Abstract algebra
52. Field (mathematics)
link
split
Abstract algebra
82
52.1. Algebraic number theory
link
split
Field (mathematics)
52.2. Class field theory
link
split
Field (mathematics)
52.3. Field extensions
link
split
Field (mathematics)
52.4. Finite fields
link
split
Field (mathematics)
52.5. Galois theory
link
split
Field (mathematics)
52.6. Algebraic function field
link
split
Field (mathematics)
52.7. Algebraic number field
link
split
Field (mathematics)
52.8. Algebraically closed field
link
split
Field (mathematics)
52.9. All one polynomial
link
split
Field (mathematics)
52.10. Archimedean property
link
split
Field (mathematics)
52.11. Brauer–Wall group
link
split
Field (mathematics)
52.12. CM-field
link
split
Field (mathematics)
52.13. Characteristic (algebra)
link
split
Field (mathematics)
52.14. Conjugate element (field theory)
link
split
Field (mathematics)
52.15. Cubic field
link
split
Field (mathematics)
52.16. Discrete valuation
link
split
Field (mathematics)
52.17. Eisenstein's criterion
link
split
Field (mathematics)
52.18. Equally spaced polynomial
link
split
Field (mathematics)
52.19. Euclidean field
link
split
Field (mathematics)
52.20. Field of fractions
link
split
Field (mathematics)
52.21. Field trace
link
split
Field (mathematics)
52.22. Formally real field
link
split
Field (mathematics)
52.23. Function field sieve
link
split
Field (mathematics)
52.24. Fundamental theorem of algebra
link
split
Field (mathematics)
52.25. Generic polynomial
link
split
Field (mathematics)
52.26. Global field
link
split
Field (mathematics)
52.27. Glossary of field theory
link
split
Field (mathematics)
52.28. Ground field
link
split
Field (mathematics)
52.29. Hasse invariant of an algebra
link
split
Field (mathematics)
52.30. Higher local field
link
split
Field (mathematics)
52.31. Hurwitz problem
link
split
Field (mathematics)
52.32. Hyperreal number
link
split
Field (mathematics)
52.33. Iwasawa theory
link
split
Field (mathematics)
52.34. Jacobson–Bourbaki theorem
link
split
Field (mathematics)
52.35. Krasner's lemma
link
split
Field (mathematics)
52.36. Kummer theory
link
split
Field (mathematics)
52.37. Levi-Civita field
link
split
Field (mathematics)
52.38. Linked field
link
split
Field (mathematics)
52.39. Liouville's theorem (differential algebra)
link
split
Field (mathematics)
52.40. List of number fields with class number one
link
split
Field (mathematics)
52.41. Local field
link
split
Field (mathematics)
52.42. Lüroth's theorem
link
split
Field (mathematics)
52.43. Minimal polynomial (field theory)
link
split
Field (mathematics)
52.44. Nagata's conjecture
link
split
Field (mathematics)
52.45. Norm form
link
split
Field (mathematics)
52.46. P-adic number
link
split
Field (mathematics)
52.47. P-adically closed field
link
split
Field (mathematics)
52.48. P-basis
link
split
Field (mathematics)
52.49. Perfect field
link
split
Field (mathematics)
52.50. Primitive polynomial (field theory)
link
split
Field (mathematics)
52.51. Pseudo-finite field
link
split
Field (mathematics)
52.52. Pseudo algebraically closed field
link
split
Field (mathematics)
52.53. Purely inseparable extension
link
split
Field (mathematics)
52.54. Pythagoras number
link
split
Field (mathematics)
52.55. Pythagorean field
link
split
Field (mathematics)
52.56. Quadratic field
link
split
Field (mathematics)
52.57. Quadratically closed field
link
split
Field (mathematics)
52.58. Quasi-algebraically closed field
link
split
Field (mathematics)
52.59. Quasi-finite field
link
split
Field (mathematics)
52.60. Quasifield
link
split
Field (mathematics)
52.61. Quaternionic structure
link
split
Field (mathematics)
52.62. Rational number
link
split
Field (mathematics)
52.63. Rational variety
link
split
Field (mathematics)
52.64. Real closed field
link
split
Field (mathematics)
52.65. Rupture field
link
split
Field (mathematics)
52.66. Separable polynomial
link
split
Field (mathematics)
52.67. Serre's conjecture II (algebra)
link
split
Field (mathematics)
52.68. Splitting field
link
split
Field (mathematics)
52.69. Square class
link
split
Field (mathematics)
52.70. Stark conjectures
link
split
Field (mathematics)
52.71. Stufe (algebra)
link
split
Field (mathematics)
52.72. Superreal number
link
split
Field (mathematics)
52.73. Tensor product of fields
link
split
Field (mathematics)
52.74. Thin set (Serre)
link
split
Field (mathematics)
52.75. Totally real number field
link
split
Field (mathematics)
52.76. Transcendental extension
link
split
Field (mathematics)
52.77. Tschirnhaus transformation
link
split
Field (mathematics)
52.78. Tsen rank
link
split
Field (mathematics)
52.79. U-invariant
link
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Field (mathematics)
52.80. Universal quadratic form
link
split
Field (mathematics)
52.81. Valuation (algebra)
link
split
Field (mathematics)
52.82. Valuation ring
link
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Field (mathematics)
53. Formal derivative
link
split
Abstract algebra
54. Formal power series
link
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Abstract algebra
55. Free object
link
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Abstract algebra
56. Garside element
link
split
Abstract algebra
57. General linear group
link
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Abstract algebra
58. Generating set of a module
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split
Abstract algebra
59. Generator (mathematics)
link
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Abstract algebra
60. Graded-commutative ring
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Abstract algebra
61. Harmonic polynomial
link
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Abstract algebra
62. Hasse–Schmidt derivation
link
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Abstract algebra
63. Hidden algebra
link
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Abstract algebra
64. Higher-order operad
link
split
Abstract algebra
65. Homomorphic secret sharing
link
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Abstract algebra
66. Hyperstructure
link
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Abstract algebra
67. Icosian calculus
link
split
Abstract algebra
68. Idealizer
link
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Abstract algebra
69. Indeterminate (variable)
link
split
Abstract algebra
70. Infinite expression
link
split
Abstract algebra
71. Information algebra
link
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Abstract algebra
72. Inverse limit
link
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Abstract algebra
73. Isomorphism class
link
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Abstract algebra
74. Kernel (set theory)
link
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Abstract algebra
75. Left and right (algebra)
link
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Abstract algebra
76. Light's associativity test
link
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Abstract algebra
77. Linear independence
link
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Abstract algebra
78. Linear map
link
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Abstract algebra
79. Linear span
link
split
Abstract algebra
80. List of abstract algebra topics
link
split
Abstract algebra
81. List of problems in loop theory and quasigroup theory
link
split
Abstract algebra
82. Locally finite operator
link
split
Abstract algebra
83. Lulu smoothing
link
split
Abstract algebra
84. Maximal common divisor
link
split
Abstract algebra
85. Minimal ideal
link
split
Abstract algebra
86. Multilinear form
link
split
Abstract algebra
87. Multiplicative inverse
link
split
Abstract algebra
88. Near sets
link
split
Abstract algebra
89. Normal basis
link
split
Abstract algebra
90. Normal element
link
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Abstract algebra
91. Operad
link
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Abstract algebra
92. Operad algebra
link
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Abstract algebra
93. Ordered exponential
link
split
Abstract algebra
94. Orthogonality (mathematics)
link
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Abstract algebra
95. Parallel (operator)
link
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Abstract algebra
96. Perfect complex
link
split
Abstract algebra
97. Poincaré space
link
split
Abstract algebra
98. Polarization identity
link
split
Abstract algebra
99. Polarization of an algebraic form
link
split
Abstract algebra
100. Predual
link
split
Abstract algebra
101. Principle of distributivity
link
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Abstract algebra
102. Proofs involving the addition of natural numbers
link
split
Abstract algebra
103. Quasi-free algebra
link
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Abstract algebra
104. Radical polynomial
link
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Abstract algebra
105. Rational series
link
split
Abstract algebra
106. Rayleigh's quotient in vibrations analysis
link
split
Abstract algebra
107. Row and column spaces
link
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Abstract algebra
108. Scalar multiplication
link
split
Abstract algebra
109. Self-adjoint
link
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Abstract algebra
110. Sequential dynamical system
link
split
Abstract algebra
111. Setoid
link
split
Abstract algebra
112. Simple (abstract algebra)
link
split
Abstract algebra
113. Skew-Hermitian matrix
link
split
Abstract algebra
114. Split exact sequence
link
split
Abstract algebra
115. Subquotient
link
split
Abstract algebra
116. Total algebra
link
split
Abstract algebra
117. Transpose
link
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Abstract algebra
118. Unitary element
link
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Abstract algebra
119. Word problem (mathematics)
link
split
Abstract algebra
120. Yoneda product
link
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Abstract algebra
121. Zero-product property
link
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Abstract algebra
122. Zero divisor
link
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Abstract algebra
1. Abstract algebra stubs
split
articles:
121
Abstract algebra
toc
wiki
1.1. Algebraic geometry stubs
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Abstract algebra stubs
toc
wiki
1.2. Category theory stubs
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Abstract algebra stubs
toc
wiki
1.3. Commutative algebra stubs
split
Abstract algebra stubs
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wiki
1.4. Group theory stubs
split
Abstract algebra stubs
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wiki
1.5. Abel's irreducibility theorem
split
Abstract algebra stubs
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wiki
1.6. Alperin–Brauer–Gorenstein theorem
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Abstract algebra stubs
toc
wiki
1.7. Andreotti–Grauert theorem
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Abstract algebra stubs
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1.8. Aperiodic semigroup
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Abstract algebra stubs
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1.9. Arf semigroup
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Abstract algebra stubs
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1.10. Arithmetical ring
split
Abstract algebra stubs
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1.11. Artin–Zorn theorem
split
Abstract algebra stubs
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1.12. Auslander algebra
split
Abstract algebra stubs
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1.13. Automorphism of a Lie algebra
split
Abstract algebra stubs
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1.14. Baer–Suzuki theorem
split
Abstract algebra stubs
toc
wiki
1.15. Brandt semigroup
split
Abstract algebra stubs
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1.16. Brauer–Fowler theorem
split
Abstract algebra stubs
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1.17. Brauer–Nesbitt theorem
split
Abstract algebra stubs
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1.18. Brauer–Suzuki theorem
split
Abstract algebra stubs
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1.19. Brauer–Suzuki–Wall theorem
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Abstract algebra stubs
toc
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1.20. CAT(k) group
split
Abstract algebra stubs
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1.21. CEP subgroup
split
Abstract algebra stubs
toc
wiki
1.22. Carnot group
split
Abstract algebra stubs
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1.23. Cartan–Brauer–Hua theorem
split
Abstract algebra stubs
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1.24. Cartan–Dieudonné theorem
split
Abstract algebra stubs
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1.25. Chinese monoid
split
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1.26. Clean ring
split
Abstract algebra stubs
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wiki
1.27. Clifford semigroup
split
Abstract algebra stubs
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1.28. Cocompact group action
split
Abstract algebra stubs
toc
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1.29. Complemented group
split
Abstract algebra stubs
toc
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1.30. Complete field
split
Abstract algebra stubs
toc
wiki
1.31. Component theorem
split
Abstract algebra stubs
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wiki
1.32. Composite field (mathematics)
split
Abstract algebra stubs
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wiki
1.33. Congruence-permutable algebra
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Abstract algebra stubs
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wiki
1.34. Conjugacy-closed subgroup
split
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wiki
1.35. Dedekind-finite ring
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Abstract algebra stubs
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1.36. Duflo isomorphism
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Abstract algebra stubs
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1.37. Fitting's theorem
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1.38. Fontaine–Mazur conjecture
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1.39. Free ideal ring
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Abstract algebra stubs
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1.40. Freudenthal algebra
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1.41. Gelfand ring
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1.42. Goldie's theorem
split
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1.43. Goncharov conjecture
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1.44. Gorenstein–Walter theorem
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1.45. Grade (ring theory)
split
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1.46. Grothendieck's connectedness theorem
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1.47. Grothendieck existence theorem
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1.48. Group isomorphism problem
split
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1.49. Hereditary ring
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1.50. Hochschild–Mostow group
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1.51. Hyper-finite field
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1.52. Idempotent analysis
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1.53. Inner form
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1.54. Irreducible ideal
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1.55. Isomorphism extension theorem
split
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1.56. Itô's theorem
split
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1.57. Jacobi group
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1.58. Jaffard ring
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1.59. Johnson–Wilson theory
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1.60. Karoubi conjecture
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1.61. Kawamata–Viehweg vanishing theorem
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1.62. Kummer variety
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1.63. Kurosh problem
split
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1.64. Luna's slice theorem
split
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1.65. Marot ring
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1.66. Metabelian group
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1.67. Metacyclic group
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1.68. Milnor–Moore theorem
split
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1.69. Naimark equivalence
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1.70. Nakayama's conjecture
split
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1.71. Neukirch–Uchida theorem
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1.72. Opposite ring
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1.73. Ordered semigroup
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1.74. Orthomorphism
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1.75. Permutation representation
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1.76. Petersson algebra
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1.77. Postnikov square
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1.78. Preradical
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1.79. Primary extension
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1.80. Primitive element (finite field)
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1.81. Principal factor
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1.82. Protorus
split
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1.83. Quantum affine algebra
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1.84. Quasi-compact morphism
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1.85. Quasi-triangular quasi-Hopf algebra
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1.86. Regev's theorem
split
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1.87. Regular extension
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1.88. Residual property (mathematics)
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1.89. Rigid cohomology
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1.90. Ring class field
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toc
wiki
1.91. Ring spectrum
split
Abstract algebra stubs
toc
wiki
1.92. SBI ring
split
Abstract algebra stubs
toc
wiki
1.93. Schreier conjecture
split
Abstract algebra stubs
toc
wiki
1.94. Schreier domain
split
Abstract algebra stubs
toc
wiki
1.95. Schreier refinement theorem
split
Abstract algebra stubs
toc
wiki
1.96. Semiprimitive ring
split
Abstract algebra stubs
toc
wiki
1.97. Shafarevich's theorem on solvable Galois groups
split
Abstract algebra stubs
toc
wiki
1.98. Slender group
split
Abstract algebra stubs
toc
wiki
1.99. Springer resolution
split
Abstract algebra stubs
toc
wiki
1.100. Stability group
split
Abstract algebra stubs
toc
wiki
1.101. Stably finite ring
split
Abstract algebra stubs
toc
wiki
1.102. Steenrod homology
split
Abstract algebra stubs
toc
wiki
1.103. Subrepresentation
split
Abstract algebra stubs
toc
wiki
1.104. Superperfect group
split
Abstract algebra stubs
toc
wiki
1.105. Supersolvable group
split
Abstract algebra stubs
toc
wiki
1.106. Sylvester domain
split
Abstract algebra stubs
toc
wiki
1.107. Symmetric inverse semigroup
split
Abstract algebra stubs
toc
wiki
1.108. Ternary commutator
split
Abstract algebra stubs
toc
wiki
1.109. Thompson transitivity theorem
split
Abstract algebra stubs
toc
wiki
1.110. Thompson uniqueness theorem
split
Abstract algebra stubs
toc
wiki
1.111. Torsion abelian group
split
Abstract algebra stubs
toc
wiki
1.112. Torsion group
split
Abstract algebra stubs
toc
wiki
1.113. Tropical analysis
split
Abstract algebra stubs
toc
wiki
1.114. Warfield group
split
Abstract algebra stubs
toc
wiki
1.115. Weak inverse
split
Abstract algebra stubs
toc
wiki
1.116. Weakly normal subgroup
split
Abstract algebra stubs
toc
wiki
1.117. Wonderful compactification
split
Abstract algebra stubs
toc
wiki
1.118. ZJ theorem
split
Abstract algebra stubs
toc
wiki
1.119. Zeeman's comparison theorem
split
Abstract algebra stubs
toc
wiki
1.120. Zerosumfree monoid
split
Abstract algebra stubs
toc
wiki
1.121. Zorn ring
split
Abstract algebra stubs
toc
wiki
2. Algebraic properties of elements
split
articles:
11
Abstract algebra
toc
wiki
2.1. Absorbing element
split
Algebraic properties of elements
toc
wiki
2.2. Cancellation property
split
Algebraic properties of elements
toc
wiki
2.3. Epimorphism
split
Algebraic properties of elements
toc
wiki
2.4. Idempotence
split
Algebraic properties of elements
toc
wiki
2.5. Identity element
split
Algebraic properties of elements
toc
wiki
2.6. Involution (mathematics)
split
Algebraic properties of elements
toc
wiki
2.7. Irreducible element
split
Algebraic properties of elements
toc
wiki
2.8. Monomorphism
split
Algebraic properties of elements
toc
wiki
2.9. Nilpotent
split
Algebraic properties of elements
toc
wiki
2.10. Order (group theory)
split
Algebraic properties of elements
toc
wiki
2.11. Unit (ring theory)
split
Algebraic properties of elements
toc
wiki
3. Algebraic structures
split
articles:
103
Abstract algebra
toc
wiki
3.1. Algebras
split
Algebraic structures
toc
wiki
3.2. Coalgebras
split
Algebraic structures
toc
wiki
3.3. Finite groups
split
Algebraic structures
toc
wiki
3.4. Hypercomplex numbers
split
Algebraic structures
toc
wiki
3.5. Lie groups
split
Algebraic structures
toc
wiki
3.6. Non-associative algebra
split
Algebraic structures
toc
wiki
3.7. Ockham algebras
split
Algebraic structures
toc
wiki
3.8. Ordered algebraic structures
split
Algebraic structures
toc
wiki
3.9. Properties of groups
split
Algebraic structures
toc
wiki
3.10. Action algebra
split
Algebraic structures
toc
wiki
3.11. Additive group
split
Algebraic structures
toc
wiki
3.12. Affine monoid
split
Algebraic structures
toc
wiki
3.13. BCK algebra
split
Algebraic structures
toc
wiki
3.14. BF-algebra
split
Algebraic structures
toc
wiki
3.15. Band (algebra)
split
Algebraic structures
toc
wiki
3.16. Baumslag–Gersten group
split
Algebraic structures
toc
wiki
3.17. Biordered set
split
Algebraic structures
toc
wiki
3.18. Biracks and biquandles
split
Algebraic structures
toc
wiki
3.19. Boolean algebra (structure)
split
Algebraic structures
toc
wiki
3.20. Cancellative semigroup
split
Algebraic structures
toc
wiki
3.21. Category (mathematics)
split
Algebraic structures
toc
wiki
3.22. Class of groups
split
Algebraic structures
toc
wiki
3.23. Commutative ring
split
Algebraic structures
toc
wiki
3.24. Complete Heyting algebra
split
Algebraic structures
toc
wiki
3.25. Completely regular semigroup
split
Algebraic structures
toc
wiki
3.26. Composition ring
split
Algebraic structures
toc
wiki
3.27. Convex space
split
Algebraic structures
toc
wiki
3.28. Damm algorithm
split
Algebraic structures
toc
wiki
3.29. Domain (ring theory)
split
Algebraic structures
toc
wiki
3.30. Double groupoid
split
Algebraic structures
toc
wiki
3.31. E-dense semigroup
split
Algebraic structures
toc
wiki
3.32. E-semigroup
split
Algebraic structures
toc
wiki
3.33. Effect algebra
split
Algebraic structures
toc
wiki
3.34. Elliptic algebra
split
Algebraic structures
toc
wiki
3.35. Empty semigroup
split
Algebraic structures
toc
wiki
3.36. Epigroup
split
Algebraic structures
toc
wiki
3.37. Essential dimension
split
Algebraic structures
toc
wiki
3.38. Exponential field
split
Algebraic structures
toc
wiki
3.39. Finite lattice representation problem
split
Algebraic structures
toc
wiki
3.40. Finitely generated abelian group
split
Algebraic structures
toc
wiki
3.41. Generic matrix ring
split
Algebraic structures
toc
wiki
3.42. Grothendieck group
split
Algebraic structures
toc
wiki
3.43. Group (mathematics)
split
Algebraic structures
toc
wiki
3.44. Groupoid
split
Algebraic structures
toc
wiki
3.45. Hardy field
split
Algebraic structures
toc
wiki
3.46. Ideal (ring theory)
split
Algebraic structures
toc
wiki
3.47. Integral closure of an ideal
split
Algebraic structures
toc
wiki
3.48. Integral element
split
Algebraic structures
toc
wiki
3.49. Interior algebra
split
Algebraic structures
toc
wiki
3.50. Inverse semigroup
split
Algebraic structures
toc
wiki
3.51. J-structure
split
Algebraic structures
toc
wiki
3.52. Jónsson–Tarski algebra
split
Algebraic structures
toc
wiki
3.53. Kasch ring
split
Algebraic structures
toc
wiki
3.54. Kleene algebra
split
Algebraic structures
toc
wiki
3.55. Lattice (order)
split
Algebraic structures
toc
wiki
3.56. Lindenbaum–Tarski algebra
split
Algebraic structures
toc
wiki
3.57. MV-algebra
split
Algebraic structures
toc
wiki
3.58. Magma (algebra)
split
Algebraic structures
toc
wiki
3.59. Matrix field
split
Algebraic structures
toc
wiki
3.60. Matrix ring
split
Algebraic structures
toc
wiki
3.61. Module (mathematics)
split
Algebraic structures
toc
wiki
3.62. Monogenic semigroup
split
Algebraic structures
toc
wiki
3.63. Monoid
split
Algebraic structures
toc
wiki
3.64. Monus
split
Algebraic structures
toc
wiki
3.65. Moufang polygon
split
Algebraic structures
toc
wiki
3.66. Multiplicative group
split
Algebraic structures
toc
wiki
3.67. N-ary group
split
Algebraic structures
toc
wiki
3.68. Near-field (mathematics)
split
Algebraic structures
toc
wiki
3.69. Near-ring
split
Algebraic structures
toc
wiki
3.70. Near-semiring
split
Algebraic structures
toc
wiki
3.71. Nowhere commutative semigroup
split
Algebraic structures
toc
wiki
3.72. Numerical semigroup
split
Algebraic structures
toc
wiki
3.73. Ordered exponential field
split
Algebraic structures
toc
wiki
3.74. Outline of algebraic structures
split
Algebraic structures
toc
wiki
3.75. Overring
split
Algebraic structures
toc
wiki
3.76. Partial algebra
split
Algebraic structures
toc
wiki
3.77. Partial groupoid
split
Algebraic structures
toc
wiki
3.78. Planar ternary ring
split
Algebraic structures
toc
wiki
3.79. Pointed set
split
Algebraic structures
toc
wiki
3.80. Primitive ring
split
Algebraic structures
toc
wiki
3.81. Pseudo-ring
split
Algebraic structures
toc
wiki
3.82. Pseudogroup
split
Algebraic structures
toc
wiki
3.83. Quantum differential calculus
split
Algebraic structures
toc
wiki
3.84. Quantum groupoid
split
Algebraic structures
toc
wiki
3.85. Rational monoid
split
Algebraic structures
toc
wiki
3.86. Regular semigroup
split
Algebraic structures
toc
wiki
3.87. Right group
split
Algebraic structures
toc
wiki
3.88. Ring (mathematics)
split
Algebraic structures
toc
wiki
3.89. Rng (algebra)
split
Algebraic structures
toc
wiki
3.90. Semifield
split
Algebraic structures
toc
wiki
3.91. Semigroup
split
Algebraic structures
toc
wiki
3.92. Semigroup with involution
split
Algebraic structures
toc
wiki
3.93. Semigroup with three elements
split
Algebraic structures
toc
wiki
3.94. Semigroup with two elements
split
Algebraic structures
toc
wiki
3.95. Semigroupoid
split
Algebraic structures
toc
wiki
3.96. Semilattice
split
Algebraic structures
toc
wiki
3.97. Semimodule
split
Algebraic structures
toc
wiki
3.98. Semiring
split
Algebraic structures
toc
wiki
3.99. Simplicial commutative ring
split
Algebraic structures
toc
wiki
3.100. Special classes of semigroups
split
Algebraic structures
toc
wiki
3.101. Torsion-free abelian group
split
Algebraic structures
toc
wiki
3.102. Trivial semigroup
split
Algebraic structures
toc
wiki
3.103. Variety of finite semigroups
split
Algebraic structures
toc
wiki
4. Binary operations
split
articles:
35
Abstract algebra
toc
wiki
4.1. Bilinear maps
split
Binary operations
toc
wiki
4.2. Binary relations
split
Binary operations
toc
wiki
4.3. Comparison (mathematical)
split
Binary operations
toc
wiki
4.4. Logical connectives
split
Binary operations
toc
wiki
4.5. Operations on numbers
split
Binary operations
toc
wiki
4.6. Operations on sets
split
Binary operations
toc
wiki
4.7. Operations on structures
split
Binary operations
toc
wiki
4.8. Operations on vectors
split
Binary operations
toc
wiki
4.9. Properties of binary operations
split
Binary operations
toc
wiki
4.10. Barrel shifter
split
Binary operations
toc
wiki
4.11. Binary operation
split
Binary operations
toc
wiki
4.12. Blaschke sum
split
Binary operations
toc
wiki
4.13. Cap product
split
Binary operations
toc
wiki
4.14. Circular convolution
split
Binary operations
toc
wiki
4.15. Composition of relations
split
Binary operations
toc
wiki
4.16. Courant bracket
split
Binary operations
toc
wiki
4.17. Cup product
split
Binary operations
toc
wiki
4.18. DE-9IM
split
Binary operations
toc
wiki
4.19. Demonic composition
split
Binary operations
toc
wiki
4.20. Elvis operator
split
Binary operations
toc
wiki
4.21. Exponentiation
split
Binary operations
toc
wiki
4.22. Ext functor
split
Binary operations
toc
wiki
4.23. Function composition
split
Binary operations
toc
wiki
4.24. Iterated binary operation
split
Binary operations
toc
wiki
4.25. Join and meet
split
Binary operations
toc
wiki
4.26. Logic alphabet
split
Binary operations
toc
wiki
4.27. Logical consequence
split
Binary operations
toc
wiki
4.28. Mean operation
split
Binary operations
toc
wiki
4.29. Minkowski addition
split
Binary operations
toc
wiki
4.30. Modular multiplicative inverse
split
Binary operations
toc
wiki
4.31. Null coalescing operator
split
Binary operations
toc
wiki
4.32. Pointwise product
split
Binary operations
toc
wiki
4.33. Relational operator
split
Binary operations
toc
wiki
4.34. Tor functor
split
Binary operations
toc
wiki
4.35. Wreath product
split
Binary operations
toc
wiki
5. Morphisms
split
articles:
26
Abstract algebra
toc
wiki
5.1. Homeomorphisms
split
Morphisms
toc
wiki
5.2. Isomorphism theorems
split
Morphisms
toc
wiki
5.3. Morphisms of schemes
split
Morphisms
toc
wiki
5.4. Additive map
split
Morphisms
toc
wiki
5.5. Algebra homomorphism
split
Morphisms
toc
wiki
5.6. Antihomomorphism
split
Morphisms
toc
wiki
5.7. Catamorphism
split
Morphisms
toc
wiki
5.8. Diagonal morphism
split
Morphisms
toc
wiki
5.9. Endomorphism
split
Morphisms
toc
wiki
5.10. Finite morphism
split
Morphisms
toc
wiki
5.11. Graph homomorphism
split
Morphisms
toc
wiki
5.12. Graph isomorphism
split
Morphisms
toc
wiki
5.13. Graph isomorphism problem
split
Morphisms
toc
wiki
5.14. Group homomorphism
split
Morphisms
toc
wiki
5.15. Group isomorphism
split
Morphisms
toc
wiki
5.16. Homomorphism
split
Morphisms
toc
wiki
5.17. Isomorphism
split
Morphisms
toc
wiki
5.18. Morphism
split
Morphisms
toc
wiki
5.19. Morphism of finite type
split
Morphisms
toc
wiki
5.20. Normal homomorphism
split
Morphisms
toc
wiki
5.21. Normal morphism
split
Morphisms
toc
wiki
5.22. Order isomorphism
split
Morphisms
toc
wiki
5.23. Orientation character
split
Morphisms
toc
wiki
5.24. Ring homomorphism
split
Morphisms
toc
wiki
5.25. Unramified morphism
split
Morphisms
toc
wiki
5.26. Zero morphism
split
Morphisms
toc
wiki
6. Process calculi
split
articles:
19
Abstract algebra
toc
wiki
6.1. API-Calculus
split
Process calculi
toc
wiki
6.2. Actor model and process calculi
split
Process calculi
toc
wiki
6.3. Actor model and process calculi history
split
Process calculi
toc
wiki
6.4. Algebra of communicating processes
split
Process calculi
toc
wiki
6.5. Ambient calculus
split
Process calculi
toc
wiki
6.6. Calculus of broadcasting systems
split
Process calculi
toc
wiki
6.7. Calculus of communicating systems
split
Process calculi
toc
wiki
6.8. Communicating sequential processes
split
Process calculi
toc
wiki
6.9. Construction and Analysis of Distributed Processes
split
Process calculi
toc
wiki
6.10. E-LOTOS
split
Process calculi
toc
wiki
6.11. Join-calculus
split
Process calculi
toc
wiki
6.12. Language Of Temporal Ordering Specification
split
Process calculi
toc
wiki
6.13. MCRL2
split
Process calculi
toc
wiki
6.14. PEPA
split
Process calculi
toc
wiki
6.15. Process calculus
split
Process calculi
toc
wiki
6.16. Stochastic probe
split
Process calculi
toc
wiki
6.17. Temporal Process Language
split
Process calculi
toc
wiki
6.18. Unbounded nondeterminism
split
Process calculi
toc
wiki
6.19. Π-calculus
split
Process calculi
toc
wiki
7. Scalars
split
articles:
10
Abstract algebra
toc
wiki
7.1. Determinants
split
Scalars
toc
wiki
7.2. Norms (mathematics)
split
Scalars
toc
wiki
7.3. Scalar physical quantities
split
Scalars
toc
wiki
7.4. Directional derivative
split
Scalars
toc
wiki
7.5. Dot product
split
Scalars
toc
wiki
7.6. Lorentz scalar
split
Scalars
toc
wiki
7.7. Pseudoscalar
split
Scalars
toc
wiki
7.8. Relative scalar
split
Scalars
toc
wiki
7.9. Scalar (mathematics)
split
Scalars
toc
wiki
7.10. Scalar field theory
split
Scalars
toc
wiki
8. Ternary operations
split
articles:
6
Abstract algebra
toc
wiki
8.1. Conditioned disjunction
split
Ternary operations
toc
wiki
8.2. Heap (mathematics)
split
Ternary operations
toc
wiki
8.3. Massey product
split
Ternary operations
toc
wiki
8.4. Ternary conditional operator
split
Ternary operations
toc
wiki
8.5. Ternary operation
split
Ternary operations
toc
wiki
8.6. Triple product
split
Ternary operations
toc
wiki
9. Theorems in abstract algebra
split
articles:
27
Abstract algebra
toc
wiki
9.1. Theorems about algebras
split
Theorems in abstract algebra
toc
wiki
9.2. Theorems in algebraic geometry
split
Theorems in abstract algebra
toc
wiki
9.3. Theorems in algebraic number theory
split
Theorems in abstract algebra
toc
wiki
9.4. Theorems in algebraic topology
split
Theorems in abstract algebra
toc
wiki
9.5. Theorems in group theory
split
Theorems in abstract algebra
toc
wiki
9.6. Theorems in lattice theory
split
Theorems in abstract algebra
toc
wiki
9.7. Theorems in representation theory
split
Theorems in abstract algebra
toc
wiki
9.8. Theorems in ring theory
split
Theorems in abstract algebra
toc
wiki
9.9. Abhyankar's conjecture
split
Theorems in abstract algebra
toc
wiki
9.10. Abhyankar's inequality
split
Theorems in abstract algebra
toc
wiki
9.11. Abhyankar's lemma
split
Theorems in abstract algebra
toc
wiki
9.12. Cartan's theorem
split
Theorems in abstract algebra
toc
wiki
9.13. Dimension theorem for vector spaces
split
Theorems in abstract algebra
toc
wiki
9.14. Dold–Kan correspondence
split
Theorems in abstract algebra
toc
wiki
9.15. Eckmann–Hilton argument
split
Theorems in abstract algebra
toc
wiki
9.16. Fundamental lemma (Langlands program)
split
Theorems in abstract algebra
toc
wiki
9.17. Fundamental theorem on homomorphisms
split
Theorems in abstract algebra
toc
wiki
9.18. Gabriel–Popescu theorem
split
Theorems in abstract algebra
toc
wiki
9.19. Generic flatness
split
Theorems in abstract algebra
toc
wiki
9.20. Joubert's theorem
split
Theorems in abstract algebra
toc
wiki
9.21. Latimer–MacDuffee theorem
split
Theorems in abstract algebra
toc
wiki
9.22. Primitive element theorem
split
Theorems in abstract algebra
toc
wiki
9.23. Quillen–Suslin theorem
split
Theorems in abstract algebra
toc
wiki
9.24. Segal's conjecture
split
Theorems in abstract algebra
toc
wiki
9.25. Strassmann's theorem
split
Theorems in abstract algebra
toc
wiki
9.26. Structure theorem for finitely generated modules over a principal ideal domain
split
Theorems in abstract algebra
toc
wiki
9.27. Whitehead's lemma
split
Theorems in abstract algebra
toc
wiki
10. Vectors (mathematics and physics)
split
articles:
35
Abstract algebra
toc
wiki
10.1. Four-vectors
split
Vectors (mathematics and physics)
toc
wiki
10.2. Topological vector spaces
split
Vectors (mathematics and physics)
toc
wiki
10.3. Vector calculus
split
Vectors (mathematics and physics)
toc
wiki
10.4. Vector physical quantities
split
Vectors (mathematics and physics)
toc
wiki
10.5. 4D vector
split
Vectors (mathematics and physics)
toc
wiki
10.6. Burgers vector
split
Vectors (mathematics and physics)
toc
wiki
10.7. Complex conjugate of a vector space
split
Vectors (mathematics and physics)
toc
wiki
10.8. Coordinate vector
split
Vectors (mathematics and physics)
toc
wiki
10.9. Covariance and contravariance of vectors
split
Vectors (mathematics and physics)
toc
wiki
10.10. Darboux vector
split
Vectors (mathematics and physics)
toc
wiki
10.11. Dimension (vector space)
split
Vectors (mathematics and physics)
toc
wiki
10.12. Direction cosine
split
Vectors (mathematics and physics)
toc
wiki
10.13. Distance from a point to a line
split
Vectors (mathematics and physics)
toc
wiki
10.14. Eccentricity vector
split
Vectors (mathematics and physics)
toc
wiki
10.15. Equipollence (geometry)
split
Vectors (mathematics and physics)
toc
wiki
10.16. Eutactic star
split
Vectors (mathematics and physics)
toc
wiki
10.17. Four-vector
split
Vectors (mathematics and physics)
toc
wiki
10.18. Indicator vector
split
Vectors (mathematics and physics)
toc
wiki
10.19. Infinite-dimensional vector function
split
Vectors (mathematics and physics)
toc
wiki
10.20. Laplace–Runge–Lenz vector
split
Vectors (mathematics and physics)
toc
wiki
10.21. Modeshape
split
Vectors (mathematics and physics)
toc
wiki
10.22. Orbital state vectors
split
Vectors (mathematics and physics)
toc
wiki
10.23. Poynting vector
split
Vectors (mathematics and physics)
toc
wiki
10.24. Probability vector
split
Vectors (mathematics and physics)
toc
wiki
10.25. Pseudovector
split
Vectors (mathematics and physics)
toc
wiki
10.26. Right-hand rule
split
Vectors (mathematics and physics)
toc
wiki
10.27. Row and column vectors
split
Vectors (mathematics and physics)
toc
wiki
10.28. Stokes' theorem
split
Vectors (mathematics and physics)
toc
wiki
10.29. Tangent vector
split
Vectors (mathematics and physics)
toc
wiki
10.30. Unit vector
split
Vectors (mathematics and physics)
toc
wiki
10.31. Vector-valued function
split
Vectors (mathematics and physics)
toc
wiki
10.32. Vector (mathematics and physics)
split
Vectors (mathematics and physics)
toc
wiki
10.33. Vector area
split
Vectors (mathematics and physics)
toc
wiki
10.34. Vector notation
split
Vectors (mathematics and physics)
toc
wiki
10.35. Vector space
split
Vectors (mathematics and physics)
toc
wiki
11. Absolute value (algebra)
split
Abstract algebra
toc
wiki
12. Absolutely convex set
split
Abstract algebra
toc
wiki
13. Absorption law
split
Abstract algebra
toc
wiki
14. Additive identity
split
Abstract algebra
toc
wiki
15. Additive inverse
split
Abstract algebra
toc
wiki
16. Algebraic element
split
Abstract algebra
toc
wiki
17. Algebraic independence
split
Abstract algebra
toc
wiki
18. Algebraic structure
split
Abstract algebra
toc
wiki
19. Arity
split
Abstract algebra
toc
wiki
20. Automorphism
split
Abstract algebra
toc
wiki
21. A∞-operad
split
Abstract algebra
toc
wiki
22. Bendixson's inequality
split
Abstract algebra
toc
wiki
23. Bifundamental representation
split
Abstract algebra
toc
wiki
24. Bilinear form
split
Abstract algebra
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25. Canonical basis
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26. Cauchy sequence
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27. Center (algebra)
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28. Centralizer and normalizer
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29. Closure (mathematics)
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30. Closure with a twist
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31. Coimage
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32. Cokernel
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33. Commutator
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34. Conditional event algebra
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35. Conformal linear transformation
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Abstract algebra
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36. Cover (algebra)
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Abstract algebra
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37. Cycle graph (algebra)
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Abstract algebra
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38. Cyclic vector
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39. Dimension
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48
Abstract algebra
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39.1. Coordinate systems by dimensions
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39.2. Dimension reduction
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39.3. Dimension theory
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39.4. Fictional dimensions
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39.5. Spacetime
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39.6. Time
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39.7. 2.5D
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39.8. 2 1/2-dimensional manufacturing
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39.9. Abscissa and ordinate
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39.10. Bernstein's problem
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39.11. Codimension
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39.12. Complex dimension
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39.13. Concentration dimension
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39.14. Curse of dimensionality
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39.15. Degrees of freedom
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39.16. Degrees of freedom (physics and chemistry)
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Dimension
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39.17. Dimension of an algebraic variety
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Dimension
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39.18. Dimension theory (algebra)
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39.19. Dimensional metrology
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39.20. Eight-dimensional space
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39.21. Euclidean plane
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39.22. Exterior dimension
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39.23. Extra dimensions
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39.24. FinVect
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39.25. Five-dimensional space
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39.26. Flatland
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39.27. Four-dimensional space
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39.28. Fourth dimension in art
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39.29. Fourth dimension in literature
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39.30. Global dimension
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39.31. Interdimensional
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39.32. Isoperimetric dimension
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39.33. Kaplan–Yorke conjecture
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39.34. Kodaira dimension
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39.35. Krull dimension
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39.36. Matroid rank
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39.37. Minkowski content
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39.38. Multiple time dimensions
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39.39. One-dimensional space
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39.40. Poppy-seed bagel theorem
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39.41. Regular sequence
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39.42. Relative canonical model
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39.43. Relative dimension
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39.44. Seven-dimensional space
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39.45. Six-dimensional space
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39.46. String theory
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39.47. Vapnik–Chervonenkis dimension
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39.48. Zero-dimensional space
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40. Direct limit
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Abstract algebra
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41. Direct product
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42. Direct sum
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43. Dixmier conjecture
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44. Eigenvalues and eigenvectors
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Abstract algebra
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45. Embedding
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Abstract algebra
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46. Emmy Noether bibliography
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Abstract algebra
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47. Euclidean vector
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48. Expression (mathematics)
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49. External (mathematics)
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Abstract algebra
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50. E∞-operad
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Abstract algebra
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51. Faltings' annihilator theorem
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52. Field (mathematics)
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82
Abstract algebra
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52.1. Algebraic number theory
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Field (mathematics)
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52.2. Class field theory
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Field (mathematics)
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52.3. Field extensions
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Field (mathematics)
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52.4. Finite fields
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Field (mathematics)
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52.5. Galois theory
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Field (mathematics)
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52.6. Algebraic function field
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Field (mathematics)
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52.7. Algebraic number field
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Field (mathematics)
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52.8. Algebraically closed field
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Field (mathematics)
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52.9. All one polynomial
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Field (mathematics)
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52.10. Archimedean property
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Field (mathematics)
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52.11. Brauer–Wall group
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Field (mathematics)
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52.12. CM-field
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Field (mathematics)
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52.13. Characteristic (algebra)
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Field (mathematics)
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52.14. Conjugate element (field theory)
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Field (mathematics)
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52.15. Cubic field
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Field (mathematics)
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52.16. Discrete valuation
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Field (mathematics)
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52.17. Eisenstein's criterion
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Field (mathematics)
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52.18. Equally spaced polynomial
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Field (mathematics)
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52.19. Euclidean field
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Field (mathematics)
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52.20. Field of fractions
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Field (mathematics)
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52.21. Field trace
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Field (mathematics)
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52.22. Formally real field
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Field (mathematics)
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52.23. Function field sieve
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Field (mathematics)
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52.24. Fundamental theorem of algebra
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Field (mathematics)
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52.25. Generic polynomial
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Field (mathematics)
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52.26. Global field
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Field (mathematics)
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52.27. Glossary of field theory
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Field (mathematics)
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52.28. Ground field
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Field (mathematics)
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52.29. Hasse invariant of an algebra
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Field (mathematics)
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52.30. Higher local field
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Field (mathematics)
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52.31. Hurwitz problem
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Field (mathematics)
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52.32. Hyperreal number
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Field (mathematics)
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52.33. Iwasawa theory
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Field (mathematics)
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52.34. Jacobson–Bourbaki theorem
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Field (mathematics)
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52.35. Krasner's lemma
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Field (mathematics)
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52.36. Kummer theory
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Field (mathematics)
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52.37. Levi-Civita field
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Field (mathematics)
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52.38. Linked field
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Field (mathematics)
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52.39. Liouville's theorem (differential algebra)
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Field (mathematics)
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52.40. List of number fields with class number one
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Field (mathematics)
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52.41. Local field
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Field (mathematics)
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52.42. Lüroth's theorem
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Field (mathematics)
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52.43. Minimal polynomial (field theory)
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Field (mathematics)
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52.44. Nagata's conjecture
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Field (mathematics)
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52.45. Norm form
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Field (mathematics)
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52.46. P-adic number
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Field (mathematics)
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52.47. P-adically closed field
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Field (mathematics)
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52.48. P-basis
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Field (mathematics)
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52.49. Perfect field
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Field (mathematics)
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52.50. Primitive polynomial (field theory)
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Field (mathematics)
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52.51. Pseudo-finite field
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Field (mathematics)
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52.52. Pseudo algebraically closed field
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Field (mathematics)
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52.53. Purely inseparable extension
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Field (mathematics)
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52.54. Pythagoras number
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Field (mathematics)
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52.55. Pythagorean field
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Field (mathematics)
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52.56. Quadratic field
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Field (mathematics)
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52.57. Quadratically closed field
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Field (mathematics)
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52.58. Quasi-algebraically closed field
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Field (mathematics)
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52.59. Quasi-finite field
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Field (mathematics)
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52.60. Quasifield
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Field (mathematics)
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52.61. Quaternionic structure
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Field (mathematics)
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52.62. Rational number
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Field (mathematics)
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52.63. Rational variety
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Field (mathematics)
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52.64. Real closed field
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Field (mathematics)
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52.65. Rupture field
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Field (mathematics)
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52.66. Separable polynomial
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Field (mathematics)
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52.67. Serre's conjecture II (algebra)
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Field (mathematics)
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52.68. Splitting field
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Field (mathematics)
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52.69. Square class
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Field (mathematics)
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52.70. Stark conjectures
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Field (mathematics)
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52.71. Stufe (algebra)
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Field (mathematics)
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52.72. Superreal number
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Field (mathematics)
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52.73. Tensor product of fields
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Field (mathematics)
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52.74. Thin set (Serre)
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Field (mathematics)
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52.75. Totally real number field
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Field (mathematics)
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52.76. Transcendental extension
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Field (mathematics)
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52.77. Tschirnhaus transformation
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Field (mathematics)
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52.78. Tsen rank
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Field (mathematics)
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52.79. U-invariant
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Field (mathematics)
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52.80. Universal quadratic form
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Field (mathematics)
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52.81. Valuation (algebra)
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Field (mathematics)
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52.82. Valuation ring
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Field (mathematics)
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53. Formal derivative
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Abstract algebra
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54. Formal power series
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55. Free object
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56. Garside element
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57. General linear group
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58. Generating set of a module
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59. Generator (mathematics)
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60. Graded-commutative ring
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61. Harmonic polynomial
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62. Hasse–Schmidt derivation
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63. Hidden algebra
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64. Higher-order operad
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65. Homomorphic secret sharing
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66. Hyperstructure
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67. Icosian calculus
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68. Idealizer
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69. Indeterminate (variable)
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70. Infinite expression
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71. Information algebra
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72. Inverse limit
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73. Isomorphism class
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Abstract algebra
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74. Kernel (set theory)
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Abstract algebra
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75. Left and right (algebra)
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Abstract algebra
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76. Light's associativity test
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Abstract algebra
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77. Linear independence
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78. Linear map
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79. Linear span
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80. List of abstract algebra topics
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Abstract algebra
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81. List of problems in loop theory and quasigroup theory
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Abstract algebra
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82. Locally finite operator
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83. Lulu smoothing
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Abstract algebra
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84. Maximal common divisor
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85. Minimal ideal
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86. Multilinear form
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87. Multiplicative inverse
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Abstract algebra
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88. Near sets
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Abstract algebra
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89. Normal basis
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90. Normal element
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91. Operad
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92. Operad algebra
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93. Ordered exponential
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94. Orthogonality (mathematics)
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95. Parallel (operator)
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96. Perfect complex
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97. Poincaré space
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98. Polarization identity
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99. Polarization of an algebraic form
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Abstract algebra
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100. Predual
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101. Principle of distributivity
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102. Proofs involving the addition of natural numbers
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103. Quasi-free algebra
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104. Radical polynomial
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105. Rational series
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106. Rayleigh's quotient in vibrations analysis
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107. Row and column spaces
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108. Scalar multiplication
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109. Self-adjoint
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110. Sequential dynamical system
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Abstract algebra
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111. Setoid
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Abstract algebra
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112. Simple (abstract algebra)
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Abstract algebra
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113. Skew-Hermitian matrix
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Abstract algebra
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114. Split exact sequence
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Abstract algebra
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115. Subquotient
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Abstract algebra
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116. Total algebra
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Abstract algebra
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117. Transpose
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118. Unitary element
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Abstract algebra
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119. Word problem (mathematics)
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Abstract algebra
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120. Yoneda product
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121. Zero-product property
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122. Zero divisor
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Ancestors
Algebra
Fields of mathematics
Mathematics
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