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Abstract algebra
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645
Table of contents
645
1. Abstract algebra stubs
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Abstract algebra
121
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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Abstract algebra stubs
1.7. Andreotti–Grauert theorem
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Abstract algebra stubs
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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Abstract algebra stubs
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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Abstract algebra stubs
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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Abstract algebra stubs
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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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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Abstract algebra stubs
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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Abstract algebra stubs
1.61. Kawamata–Viehweg vanishing theorem
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Abstract algebra stubs
1.62. Kummer variety
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Abstract algebra stubs
1.63. Kurosh problem
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Abstract algebra stubs
1.64. Luna's slice theorem
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Abstract algebra stubs
1.65. Marot ring
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Abstract algebra stubs
1.66. Metabelian group
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Abstract algebra stubs
1.67. Metacyclic group
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Abstract algebra stubs
1.68. Milnor–Moore theorem
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Abstract algebra stubs
1.69. Naimark equivalence
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1.70. Nakayama's conjecture
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Abstract algebra stubs
1.71. Neukirch–Uchida theorem
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Abstract algebra stubs
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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Abstract algebra stubs
1.76. Petersson algebra
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Abstract algebra stubs
1.77. Postnikov square
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Abstract algebra stubs
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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Abstract algebra stubs
1.81. Principal factor
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Abstract algebra stubs
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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Abstract algebra stubs
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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Abstract algebra stubs
1.89. Rigid cohomology
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Abstract algebra stubs
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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Abstract algebra stubs
1.95. Schreier refinement theorem
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Abstract algebra stubs
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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Abstract algebra stubs
1.100. Stability group
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Abstract algebra stubs
1.101. Stably finite ring
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Abstract algebra stubs
1.102. Steenrod homology
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1.103. Subrepresentation
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Abstract algebra stubs
1.104. Superperfect group
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Abstract algebra stubs
1.105. Supersolvable group
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Abstract algebra stubs
1.106. Sylvester domain
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Abstract algebra stubs
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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Abstract algebra stubs
1.110. Thompson uniqueness theorem
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Abstract algebra stubs
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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Abstract algebra stubs
1.119. Zeeman's comparison theorem
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Abstract algebra stubs
1.120. Zerosumfree monoid
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Abstract algebra stubs
1.121. Zorn ring
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Abstract algebra stubs
2. Algebraic properties of elements
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Abstract algebra
11
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
103
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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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
10
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
6
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
27
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
link
nosplit
Theorems in abstract algebra
9.20. Joubert's theorem
link
nosplit
Theorems in abstract algebra
9.21. Latimer–MacDuffee theorem
link
nosplit
Theorems in abstract algebra
9.22. Primitive element theorem
link
nosplit
Theorems in abstract algebra
9.23. Quillen–Suslin theorem
link
nosplit
Theorems in abstract algebra
9.24. Segal's conjecture
link
nosplit
Theorems in abstract algebra
9.25. Strassmann's theorem
link
nosplit
Theorems in abstract algebra
9.26. Structure theorem for finitely generated modules over a principal ideal domain
link
nosplit
Theorems in abstract algebra
9.27. Whitehead's lemma
link
nosplit
Theorems in abstract algebra
10. Vectors (mathematics and physics)
link
nosplit
Abstract algebra
35
10.1. Four-vectors
link
nosplit
Vectors (mathematics and physics)
10.2. Topological vector spaces
link
nosplit
Vectors (mathematics and physics)
10.3. Vector calculus
link
nosplit
Vectors (mathematics and physics)
10.4. Vector physical quantities
link
nosplit
Vectors (mathematics and physics)
10.5. 4D vector
link
nosplit
Vectors (mathematics and physics)
10.6. Burgers vector
link
nosplit
Vectors (mathematics and physics)
10.7. Complex conjugate of a vector space
link
nosplit
Vectors (mathematics and physics)
10.8. Coordinate vector
link
nosplit
Vectors (mathematics and physics)
10.9. Covariance and contravariance of vectors
link
nosplit
Vectors (mathematics and physics)
10.10. Darboux vector
link
nosplit
Vectors (mathematics and physics)
10.11. Dimension (vector space)
link
nosplit
Vectors (mathematics and physics)
10.12. Direction cosine
link
nosplit
Vectors (mathematics and physics)
10.13. Distance from a point to a line
link
nosplit
Vectors (mathematics and physics)
10.14. Eccentricity vector
link
nosplit
Vectors (mathematics and physics)
10.15. Equipollence (geometry)
link
nosplit
Vectors (mathematics and physics)
10.16. Eutactic star
link
nosplit
Vectors (mathematics and physics)
10.17. Four-vector
link
nosplit
Vectors (mathematics and physics)
10.18. Indicator vector
link
nosplit
Vectors (mathematics and physics)
10.19. Infinite-dimensional vector function
link
nosplit
Vectors (mathematics and physics)
10.20. Laplace–Runge–Lenz vector
link
nosplit
Vectors (mathematics and physics)
10.21. Modeshape
link
nosplit
Vectors (mathematics and physics)
10.22. Orbital state vectors
link
nosplit
Vectors (mathematics and physics)
10.23. Poynting vector
link
nosplit
Vectors (mathematics and physics)
10.24. Probability vector
link
nosplit
Vectors (mathematics and physics)
10.25. Pseudovector
link
nosplit
Vectors (mathematics and physics)
10.26. Right-hand rule
link
nosplit
Vectors (mathematics and physics)
10.27. Row and column vectors
link
nosplit
Vectors (mathematics and physics)
10.28. Stokes' theorem
link
nosplit
Vectors (mathematics and physics)
10.29. Tangent vector
link
nosplit
Vectors (mathematics and physics)
10.30. Unit vector
link
nosplit
Vectors (mathematics and physics)
10.31. Vector-valued function
link
nosplit
Vectors (mathematics and physics)
10.32. Vector (mathematics and physics)
link
nosplit
Vectors (mathematics and physics)
10.33. Vector area
link
nosplit
Vectors (mathematics and physics)
10.34. Vector notation
link
nosplit
Vectors (mathematics and physics)
10.35. Vector space
link
nosplit
Vectors (mathematics and physics)
11. Absolute value (algebra)
link
nosplit
Abstract algebra
12. Absolutely convex set
link
nosplit
Abstract algebra
13. Absorption law
link
nosplit
Abstract algebra
14. Additive identity
link
nosplit
Abstract algebra
15. Additive inverse
link
nosplit
Abstract algebra
16. Algebraic element
link
nosplit
Abstract algebra
17. Algebraic independence
link
nosplit
Abstract algebra
18. Algebraic structure
link
nosplit
Abstract algebra
19. Arity
link
nosplit
Abstract algebra
20. Automorphism
link
nosplit
Abstract algebra
21. A∞-operad
link
nosplit
Abstract algebra
22. Bendixson's inequality
link
nosplit
Abstract algebra
23. Bifundamental representation
link
nosplit
Abstract algebra
24. Bilinear form
link
nosplit
Abstract algebra
25. Canonical basis
link
nosplit
Abstract algebra
26. Cauchy sequence
link
nosplit
Abstract algebra
27. Center (algebra)
link
nosplit
Abstract algebra
28. Centralizer and normalizer
link
nosplit
Abstract algebra
29. Closure (mathematics)
link
nosplit
Abstract algebra
30. Closure with a twist
link
nosplit
Abstract algebra
31. Coimage
link
nosplit
Abstract algebra
32. Cokernel
link
nosplit
Abstract algebra
33. Commutator
link
nosplit
Abstract algebra
34. Conditional event algebra
link
nosplit
Abstract algebra
35. Conformal linear transformation
link
nosplit
Abstract algebra
36. Cover (algebra)
link
nosplit
Abstract algebra
37. Cycle graph (algebra)
link
nosplit
Abstract algebra
38. Cyclic vector
link
nosplit
Abstract algebra
39. Dimension
link
nosplit
Abstract algebra
48
39.1. Coordinate systems by dimensions
link
nosplit
Dimension
39.2. Dimension reduction
link
nosplit
Dimension
39.3. Dimension theory
link
nosplit
Dimension
39.4. Fictional dimensions
link
nosplit
Dimension
39.5. Spacetime
link
nosplit
Dimension
39.6. Time
link
nosplit
Dimension
39.7. 2.5D
link
nosplit
Dimension
39.8. 2 1/2-dimensional manufacturing
link
nosplit
Dimension
39.9. Abscissa and ordinate
link
nosplit
Dimension
39.10. Bernstein's problem
link
nosplit
Dimension
39.11. Codimension
link
nosplit
Dimension
39.12. Complex dimension
link
nosplit
Dimension
39.13. Concentration dimension
link
nosplit
Dimension
39.14. Curse of dimensionality
link
nosplit
Dimension
39.15. Degrees of freedom
link
nosplit
Dimension
39.16. Degrees of freedom (physics and chemistry)
link
nosplit
Dimension
39.17. Dimension of an algebraic variety
link
nosplit
Dimension
39.18. Dimension theory (algebra)
link
nosplit
Dimension
39.19. Dimensional metrology
link
nosplit
Dimension
39.20. Eight-dimensional space
link
nosplit
Dimension
39.21. Euclidean plane
link
nosplit
Dimension
39.22. Exterior dimension
link
nosplit
Dimension
39.23. Extra dimensions
link
nosplit
Dimension
39.24. FinVect
link
nosplit
Dimension
39.25. Five-dimensional space
link
nosplit
Dimension
39.26. Flatland
link
nosplit
Dimension
39.27. Four-dimensional space
link
nosplit
Dimension
39.28. Fourth dimension in art
link
nosplit
Dimension
39.29. Fourth dimension in literature
link
nosplit
Dimension
39.30. Global dimension
link
nosplit
Dimension
39.31. Interdimensional
link
nosplit
Dimension
39.32. Isoperimetric dimension
link
nosplit
Dimension
39.33. Kaplan–Yorke conjecture
link
nosplit
Dimension
39.34. Kodaira dimension
link
nosplit
Dimension
39.35. Krull dimension
link
nosplit
Dimension
39.36. Matroid rank
link
nosplit
Dimension
39.37. Minkowski content
link
nosplit
Dimension
39.38. Multiple time dimensions
link
nosplit
Dimension
39.39. One-dimensional space
link
nosplit
Dimension
39.40. Poppy-seed bagel theorem
link
nosplit
Dimension
39.41. Regular sequence
link
nosplit
Dimension
39.42. Relative canonical model
link
nosplit
Dimension
39.43. Relative dimension
link
nosplit
Dimension
39.44. Seven-dimensional space
link
nosplit
Dimension
39.45. Six-dimensional space
link
nosplit
Dimension
39.46. String theory
link
nosplit
Dimension
39.47. Vapnik–Chervonenkis dimension
link
nosplit
Dimension
39.48. Zero-dimensional space
link
nosplit
Dimension
40. Direct limit
link
nosplit
Abstract algebra
41. Direct product
link
nosplit
Abstract algebra
42. Direct sum
link
nosplit
Abstract algebra
43. Dixmier conjecture
link
nosplit
Abstract algebra
44. Eigenvalues and eigenvectors
link
nosplit
Abstract algebra
45. Embedding
link
nosplit
Abstract algebra
46. Emmy Noether bibliography
link
nosplit
Abstract algebra
47. Euclidean vector
link
nosplit
Abstract algebra
48. Expression (mathematics)
link
nosplit
Abstract algebra
49. External (mathematics)
link
nosplit
Abstract algebra
50. E∞-operad
link
nosplit
Abstract algebra
51. Faltings' annihilator theorem
link
nosplit
Abstract algebra
52. Field (mathematics)
link
nosplit
Abstract algebra
82
52.1. Algebraic number theory
link
nosplit
Field (mathematics)
52.2. Class field theory
link
nosplit
Field (mathematics)
52.3. Field extensions
link
nosplit
Field (mathematics)
52.4. Finite fields
link
nosplit
Field (mathematics)
52.5. Galois theory
link
nosplit
Field (mathematics)
52.6. Algebraic function field
link
nosplit
Field (mathematics)
52.7. Algebraic number field
link
nosplit
Field (mathematics)
52.8. Algebraically closed field
link
nosplit
Field (mathematics)
52.9. All one polynomial
link
nosplit
Field (mathematics)
52.10. Archimedean property
link
nosplit
Field (mathematics)
52.11. Brauer–Wall group
link
nosplit
Field (mathematics)
52.12. CM-field
link
nosplit
Field (mathematics)
52.13. Characteristic (algebra)
link
nosplit
Field (mathematics)
52.14. Conjugate element (field theory)
link
nosplit
Field (mathematics)
52.15. Cubic field
link
nosplit
Field (mathematics)
52.16. Discrete valuation
link
nosplit
Field (mathematics)
52.17. Eisenstein's criterion
link
nosplit
Field (mathematics)
52.18. Equally spaced polynomial
link
nosplit
Field (mathematics)
52.19. Euclidean field
link
nosplit
Field (mathematics)
52.20. Field of fractions
link
nosplit
Field (mathematics)
52.21. Field trace
link
nosplit
Field (mathematics)
52.22. Formally real field
link
nosplit
Field (mathematics)
52.23. Function field sieve
link
nosplit
Field (mathematics)
52.24. Fundamental theorem of algebra
link
nosplit
Field (mathematics)
52.25. Generic polynomial
link
nosplit
Field (mathematics)
52.26. Global field
link
nosplit
Field (mathematics)
52.27. Glossary of field theory
link
nosplit
Field (mathematics)
52.28. Ground field
link
nosplit
Field (mathematics)
52.29. Hasse invariant of an algebra
link
nosplit
Field (mathematics)
52.30. Higher local field
link
nosplit
Field (mathematics)
52.31. Hurwitz problem
link
nosplit
Field (mathematics)
52.32. Hyperreal number
link
nosplit
Field (mathematics)
52.33. Iwasawa theory
link
nosplit
Field (mathematics)
52.34. Jacobson–Bourbaki theorem
link
nosplit
Field (mathematics)
52.35. Krasner's lemma
link
nosplit
Field (mathematics)
52.36. Kummer theory
link
nosplit
Field (mathematics)
52.37. Levi-Civita field
link
nosplit
Field (mathematics)
52.38. Linked field
link
nosplit
Field (mathematics)
52.39. Liouville's theorem (differential algebra)
link
nosplit
Field (mathematics)
52.40. List of number fields with class number one
link
nosplit
Field (mathematics)
52.41. Local field
link
nosplit
Field (mathematics)
52.42. Lüroth's theorem
link
nosplit
Field (mathematics)
52.43. Minimal polynomial (field theory)
link
nosplit
Field (mathematics)
52.44. Nagata's conjecture
link
nosplit
Field (mathematics)
52.45. Norm form
link
nosplit
Field (mathematics)
52.46. P-adic number
link
nosplit
Field (mathematics)
52.47. P-adically closed field
link
nosplit
Field (mathematics)
52.48. P-basis
link
nosplit
Field (mathematics)
52.49. Perfect field
link
nosplit
Field (mathematics)
52.50. Primitive polynomial (field theory)
link
nosplit
Field (mathematics)
52.51. Pseudo-finite field
link
nosplit
Field (mathematics)
52.52. Pseudo algebraically closed field
link
nosplit
Field (mathematics)
52.53. Purely inseparable extension
link
nosplit
Field (mathematics)
52.54. Pythagoras number
link
nosplit
Field (mathematics)
52.55. Pythagorean field
link
nosplit
Field (mathematics)
52.56. Quadratic field
link
nosplit
Field (mathematics)
52.57. Quadratically closed field
link
nosplit
Field (mathematics)
52.58. Quasi-algebraically closed field
link
nosplit
Field (mathematics)
52.59. Quasi-finite field
link
nosplit
Field (mathematics)
52.60. Quasifield
link
nosplit
Field (mathematics)
52.61. Quaternionic structure
link
nosplit
Field (mathematics)
52.62. Rational number
link
nosplit
Field (mathematics)
52.63. Rational variety
link
nosplit
Field (mathematics)
52.64. Real closed field
link
nosplit
Field (mathematics)
52.65. Rupture field
link
nosplit
Field (mathematics)
52.66. Separable polynomial
link
nosplit
Field (mathematics)
52.67. Serre's conjecture II (algebra)
link
nosplit
Field (mathematics)
52.68. Splitting field
link
nosplit
Field (mathematics)
52.69. Square class
link
nosplit
Field (mathematics)
52.70. Stark conjectures
link
nosplit
Field (mathematics)
52.71. Stufe (algebra)
link
nosplit
Field (mathematics)
52.72. Superreal number
link
nosplit
Field (mathematics)
52.73. Tensor product of fields
link
nosplit
Field (mathematics)
52.74. Thin set (Serre)
link
nosplit
Field (mathematics)
52.75. Totally real number field
link
nosplit
Field (mathematics)
52.76. Transcendental extension
link
nosplit
Field (mathematics)
52.77. Tschirnhaus transformation
link
nosplit
Field (mathematics)
52.78. Tsen rank
link
nosplit
Field (mathematics)
52.79. U-invariant
link
nosplit
Field (mathematics)
52.80. Universal quadratic form
link
nosplit
Field (mathematics)
52.81. Valuation (algebra)
link
nosplit
Field (mathematics)
52.82. Valuation ring
link
nosplit
Field (mathematics)
53. Formal derivative
link
nosplit
Abstract algebra
54. Formal power series
link
nosplit
Abstract algebra
55. Free object
link
nosplit
Abstract algebra
56. Garside element
link
nosplit
Abstract algebra
57. General linear group
link
nosplit
Abstract algebra
58. Generating set of a module
link
nosplit
Abstract algebra
59. Generator (mathematics)
link
nosplit
Abstract algebra
60. Graded-commutative ring
link
nosplit
Abstract algebra
61. Harmonic polynomial
link
nosplit
Abstract algebra
62. Hasse–Schmidt derivation
link
nosplit
Abstract algebra
63. Hidden algebra
link
nosplit
Abstract algebra
64. Higher-order operad
link
nosplit
Abstract algebra
65. Homomorphic secret sharing
link
nosplit
Abstract algebra
66. Hyperstructure
link
nosplit
Abstract algebra
67. Icosian calculus
link
nosplit
Abstract algebra
68. Idealizer
link
nosplit
Abstract algebra
69. Indeterminate (variable)
link
nosplit
Abstract algebra
70. Infinite expression
link
nosplit
Abstract algebra
71. Information algebra
link
nosplit
Abstract algebra
72. Inverse limit
link
nosplit
Abstract algebra
73. Isomorphism class
link
nosplit
Abstract algebra
74. Kernel (set theory)
link
nosplit
Abstract algebra
75. Left and right (algebra)
link
nosplit
Abstract algebra
76. Light's associativity test
link
nosplit
Abstract algebra
77. Linear independence
link
nosplit
Abstract algebra
78. Linear map
link
nosplit
Abstract algebra
79. Linear span
link
nosplit
Abstract algebra
80. List of abstract algebra topics
link
nosplit
Abstract algebra
81. List of problems in loop theory and quasigroup theory
link
nosplit
Abstract algebra
82. Locally finite operator
link
nosplit
Abstract algebra
83. Lulu smoothing
link
nosplit
Abstract algebra
84. Maximal common divisor
link
nosplit
Abstract algebra
85. Minimal ideal
link
nosplit
Abstract algebra
86. Multilinear form
link
nosplit
Abstract algebra
87. Multiplicative inverse
link
nosplit
Abstract algebra
88. Near sets
link
nosplit
Abstract algebra
89. Normal basis
link
nosplit
Abstract algebra
90. Normal element
link
nosplit
Abstract algebra
91. Operad
link
nosplit
Abstract algebra
92. Operad algebra
link
nosplit
Abstract algebra
93. Ordered exponential
link
nosplit
Abstract algebra
94. Orthogonality (mathematics)
link
nosplit
Abstract algebra
95. Parallel (operator)
link
nosplit
Abstract algebra
96. Perfect complex
link
nosplit
Abstract algebra
97. Poincaré space
link
nosplit
Abstract algebra
98. Polarization identity
link
nosplit
Abstract algebra
99. Polarization of an algebraic form
link
nosplit
Abstract algebra
100. Predual
link
nosplit
Abstract algebra
101. Principle of distributivity
link
nosplit
Abstract algebra
102. Proofs involving the addition of natural numbers
link
nosplit
Abstract algebra
103. Quasi-free algebra
link
nosplit
Abstract algebra
104. Radical polynomial
link
nosplit
Abstract algebra
105. Rational series
link
nosplit
Abstract algebra
106. Rayleigh's quotient in vibrations analysis
link
nosplit
Abstract algebra
107. Row and column spaces
link
nosplit
Abstract algebra
108. Scalar multiplication
link
nosplit
Abstract algebra
109. Self-adjoint
link
nosplit
Abstract algebra
110. Sequential dynamical system
link
nosplit
Abstract algebra
111. Setoid
link
nosplit
Abstract algebra
112. Simple (abstract algebra)
link
nosplit
Abstract algebra
113. Skew-Hermitian matrix
link
nosplit
Abstract algebra
114. Split exact sequence
link
nosplit
Abstract algebra
115. Subquotient
link
nosplit
Abstract algebra
116. Total algebra
link
nosplit
Abstract algebra
117. Transpose
link
nosplit
Abstract algebra
118. Unitary element
link
nosplit
Abstract algebra
119. Word problem (mathematics)
link
nosplit
Abstract algebra
120. Yoneda product
link
nosplit
Abstract algebra
121. Zero-product property
link
nosplit
Abstract algebra
122. Zero divisor
link
nosplit
Abstract algebra
Ancestors
Algebra
Fields of mathematics
Mathematics
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