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124
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124
1. Localization (mathematics)
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split
Commutative algebra
4
1.1. Hasse principle
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split
Localization (mathematics)
1.2. Local analysis
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split
Localization (mathematics)
1.3. Local ring
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split
Localization (mathematics)
1.4. Semi-local ring
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split
Localization (mathematics)
2. Acceptable ring
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split
Commutative algebra
3. Almost ring
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split
Commutative algebra
4. Analytically irreducible ring
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split
Commutative algebra
5. Analytically normal ring
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split
Commutative algebra
6. Analytically unramified ring
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split
Commutative algebra
7. Arf ring
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split
Commutative algebra
8. Artin approximation theorem
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split
Commutative algebra
9. Artinian ideal
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split
Commutative algebra
10. Ascending chain condition
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split
Commutative algebra
11. Atomic domain
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split
Commutative algebra
12. Auslander–Buchsbaum formula
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split
Commutative algebra
13. Auslander–Buchsbaum theorem
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split
Commutative algebra
14. Bass number
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split
Commutative algebra
15. Bass–Quillen conjecture
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split
Commutative algebra
16. Buchsbaum ring
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split
Commutative algebra
17. Bézout domain
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split
Commutative algebra
18. Catenary ring
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split
Commutative algebra
19. Change of rings
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Commutative algebra
20. Cluster algebra
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Commutative algebra
21. Cohen ring
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Commutative algebra
22. Cohen structure theorem
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Commutative algebra
23. Cohen–Macaulay ring
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Commutative algebra
24. Complete intersection
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Commutative algebra
25. Complete intersection ring
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Commutative algebra
26. Completion of a ring
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split
Commutative algebra
27. Conductor (ring theory)
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Commutative algebra
28. Congruence ideal
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split
Commutative algebra
29. Connected ring
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split
Commutative algebra
30. Constructible topology
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split
Commutative algebra
31. Deviation of a local ring
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split
Commutative algebra
32. Differential calculus over commutative algebras
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split
Commutative algebra
33. Differential graded algebra
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split
Commutative algebra
34. Discrete valuation ring
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split
Commutative algebra
35. Divided domain
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split
Commutative algebra
36. Dualizing module
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split
Commutative algebra
37. Eakin–Nagata theorem
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split
Commutative algebra
38. Euclidean domain
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Commutative algebra
39. Excellent ring
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Commutative algebra
40. Finite algebra
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Commutative algebra
41. Finitely generated algebra
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Commutative algebra
42. Fitting ideal
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Commutative algebra
43. Formally smooth map
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Commutative algebra
44. G-ring
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Commutative algebra
45. GCD domain
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Commutative algebra
46. Geometrically regular ring
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Commutative algebra
47. Glossary of commutative algebra
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Commutative algebra
48. Going up and going down
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split
Commutative algebra
49. Gorenstein ring
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Commutative algebra
50. Hahn series
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Commutative algebra
51. Hausdorff completion
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Commutative algebra
52. Henselian ring
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Commutative algebra
53. Hilbert's basis theorem
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Commutative algebra
54. Hilbert's syzygy theorem
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Commutative algebra
55. Hilbert series and Hilbert polynomial
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Commutative algebra
56. Hilbert–Samuel function
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Commutative algebra
57. Hironaka decomposition
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Commutative algebra
58. Hodge algebra
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Commutative algebra
59. Homological conjectures in commutative algebra
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Commutative algebra
60. I-adic topology
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Commutative algebra
61. Ideal norm
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Commutative algebra
62. Ideal reduction
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Commutative algebra
63. Ideal theory
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Commutative algebra
64. Integral domain
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Commutative algebra
65. Integrally closed domain
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Commutative algebra
66. Introduction to Commutative Algebra
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Commutative algebra
67. Irreducible ring
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Commutative algebra
68. Irrelevant ideal
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Commutative algebra
69. J-2 ring
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Commutative algebra
70. J-multiplicity
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Commutative algebra
71. Jacobson ring
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Commutative algebra
72. Koszul–Tate resolution
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Commutative algebra
73. Krull's principal ideal theorem
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split
Commutative algebra
74. Krull ring
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Commutative algebra
75. List of commutative algebra topics
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Commutative algebra
76. Local criterion for flatness
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Commutative algebra
77. Local parameter
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Commutative algebra
78. Locally nilpotent
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Commutative algebra
79. Minimal prime ideal
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Commutative algebra
80. Monomial conjecture
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Commutative algebra
81. Mori domain
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Commutative algebra
82. Mori–Nagata theorem
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Commutative algebra
83. Multiplicatively closed set
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Commutative algebra
84. Multiplier ideal
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Commutative algebra
85. Nagata ring
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Commutative algebra
86. Nilradical of a ring
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Commutative algebra
87. Novikov ring
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Commutative algebra
88. Parafactorial local ring
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Commutative algebra
89. Perfect ideal
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Commutative algebra
90. Primal ideal
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Commutative algebra
91. Primary decomposition
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Commutative algebra
92. Primary ideal
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Commutative algebra
93. Principal ideal
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Commutative algebra
94. Principal ideal domain
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Commutative algebra
95. Principal ideal ring
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Commutative algebra
96. Prüfer domain
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Commutative algebra
97. Puiseux series
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Commutative algebra
98. Quasi-homogeneous polynomial
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Commutative algebra
99. Rabinowitsch trick
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Commutative algebra
100. Rees algebra
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Commutative algebra
101. Rees decomposition
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Commutative algebra
102. Ring of mixed characteristic
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Commutative algebra
103. Seminormal ring
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Commutative algebra
104. Serre's inequality on height
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Commutative algebra
105. Serre's multiplicity conjectures
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Commutative algebra
106. Spectrum of a ring
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Commutative algebra
107. Stanley decomposition
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Commutative algebra
108. System of parameters
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Commutative algebra
109. Tensor-hom adjunction
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Commutative algebra
110. Test ideal
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Commutative algebra
111. Tight closure
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Commutative algebra
112. Total ring of fractions
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Commutative algebra
113. Unibranch local ring
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Commutative algebra
114. Weak dimension
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Commutative algebra
115. Weierstrass preparation theorem
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Commutative algebra
116. Weierstrass ring
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Commutative algebra
117. Zariski's finiteness theorem
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Commutative algebra
118. Zariski ring
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Commutative algebra
119. Zero-divisor graph
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Commutative algebra
120. Étale algebra
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Commutative algebra
1. Localization (mathematics)
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articles:
4
Commutative algebra
toc
wiki
1.1. Hasse principle
split
Localization (mathematics)
toc
wiki
1.2. Local analysis
split
Localization (mathematics)
toc
wiki
1.3. Local ring
split
Localization (mathematics)
toc
wiki
1.4. Semi-local ring
split
Localization (mathematics)
toc
wiki
2. Acceptable ring
split
Commutative algebra
toc
wiki
3. Almost ring
split
Commutative algebra
toc
wiki
4. Analytically irreducible ring
split
Commutative algebra
toc
wiki
5. Analytically normal ring
split
Commutative algebra
toc
wiki
6. Analytically unramified ring
split
Commutative algebra
toc
wiki
7. Arf ring
split
Commutative algebra
toc
wiki
8. Artin approximation theorem
split
Commutative algebra
toc
wiki
9. Artinian ideal
split
Commutative algebra
toc
wiki
10. Ascending chain condition
split
Commutative algebra
toc
wiki
11. Atomic domain
split
Commutative algebra
toc
wiki
12. Auslander–Buchsbaum formula
split
Commutative algebra
toc
wiki
13. Auslander–Buchsbaum theorem
split
Commutative algebra
toc
wiki
14. Bass number
split
Commutative algebra
toc
wiki
15. Bass–Quillen conjecture
split
Commutative algebra
toc
wiki
16. Buchsbaum ring
split
Commutative algebra
toc
wiki
17. Bézout domain
split
Commutative algebra
toc
wiki
18. Catenary ring
split
Commutative algebra
toc
wiki
19. Change of rings
split
Commutative algebra
toc
wiki
20. Cluster algebra
split
Commutative algebra
toc
wiki
21. Cohen ring
split
Commutative algebra
toc
wiki
22. Cohen structure theorem
split
Commutative algebra
toc
wiki
23. Cohen–Macaulay ring
split
Commutative algebra
toc
wiki
24. Complete intersection
split
Commutative algebra
toc
wiki
25. Complete intersection ring
split
Commutative algebra
toc
wiki
26. Completion of a ring
split
Commutative algebra
toc
wiki
27. Conductor (ring theory)
split
Commutative algebra
toc
wiki
28. Congruence ideal
split
Commutative algebra
toc
wiki
29. Connected ring
split
Commutative algebra
toc
wiki
30. Constructible topology
split
Commutative algebra
toc
wiki
31. Deviation of a local ring
split
Commutative algebra
toc
wiki
32. Differential calculus over commutative algebras
split
Commutative algebra
toc
wiki
33. Differential graded algebra
split
Commutative algebra
toc
wiki
34. Discrete valuation ring
split
Commutative algebra
toc
wiki
35. Divided domain
split
Commutative algebra
toc
wiki
36. Dualizing module
split
Commutative algebra
toc
wiki
37. Eakin–Nagata theorem
split
Commutative algebra
toc
wiki
38. Euclidean domain
split
Commutative algebra
toc
wiki
39. Excellent ring
split
Commutative algebra
toc
wiki
40. Finite algebra
split
Commutative algebra
toc
wiki
41. Finitely generated algebra
split
Commutative algebra
toc
wiki
42. Fitting ideal
split
Commutative algebra
toc
wiki
43. Formally smooth map
split
Commutative algebra
toc
wiki
44. G-ring
split
Commutative algebra
toc
wiki
45. GCD domain
split
Commutative algebra
toc
wiki
46. Geometrically regular ring
split
Commutative algebra
toc
wiki
47. Glossary of commutative algebra
split
Commutative algebra
toc
wiki
48. Going up and going down
split
Commutative algebra
toc
wiki
49. Gorenstein ring
split
Commutative algebra
toc
wiki
50. Hahn series
split
Commutative algebra
toc
wiki
51. Hausdorff completion
split
Commutative algebra
toc
wiki
52. Henselian ring
split
Commutative algebra
toc
wiki
53. Hilbert's basis theorem
split
Commutative algebra
toc
wiki
54. Hilbert's syzygy theorem
split
Commutative algebra
toc
wiki
55. Hilbert series and Hilbert polynomial
split
Commutative algebra
toc
wiki
56. Hilbert–Samuel function
split
Commutative algebra
toc
wiki
57. Hironaka decomposition
split
Commutative algebra
toc
wiki
58. Hodge algebra
split
Commutative algebra
toc
wiki
59. Homological conjectures in commutative algebra
split
Commutative algebra
toc
wiki
60. I-adic topology
split
Commutative algebra
toc
wiki
61. Ideal norm
split
Commutative algebra
toc
wiki
62. Ideal reduction
split
Commutative algebra
toc
wiki
63. Ideal theory
split
Commutative algebra
toc
wiki
64. Integral domain
split
Commutative algebra
toc
wiki
65. Integrally closed domain
split
Commutative algebra
toc
wiki
66. Introduction to Commutative Algebra
split
Commutative algebra
toc
wiki
67. Irreducible ring
split
Commutative algebra
toc
wiki
68. Irrelevant ideal
split
Commutative algebra
toc
wiki
69. J-2 ring
split
Commutative algebra
toc
wiki
70. J-multiplicity
split
Commutative algebra
toc
wiki
71. Jacobson ring
split
Commutative algebra
toc
wiki
72. Koszul–Tate resolution
split
Commutative algebra
toc
wiki
73. Krull's principal ideal theorem
split
Commutative algebra
toc
wiki
74. Krull ring
split
Commutative algebra
toc
wiki
75. List of commutative algebra topics
split
Commutative algebra
toc
wiki
76. Local criterion for flatness
split
Commutative algebra
toc
wiki
77. Local parameter
split
Commutative algebra
toc
wiki
78. Locally nilpotent
split
Commutative algebra
toc
wiki
79. Minimal prime ideal
split
Commutative algebra
toc
wiki
80. Monomial conjecture
split
Commutative algebra
toc
wiki
81. Mori domain
split
Commutative algebra
toc
wiki
82. Mori–Nagata theorem
split
Commutative algebra
toc
wiki
83. Multiplicatively closed set
split
Commutative algebra
toc
wiki
84. Multiplier ideal
split
Commutative algebra
toc
wiki
85. Nagata ring
split
Commutative algebra
toc
wiki
86. Nilradical of a ring
split
Commutative algebra
toc
wiki
87. Novikov ring
split
Commutative algebra
toc
wiki
88. Parafactorial local ring
split
Commutative algebra
toc
wiki
89. Perfect ideal
split
Commutative algebra
toc
wiki
90. Primal ideal
split
Commutative algebra
toc
wiki
91. Primary decomposition
split
Commutative algebra
toc
wiki
92. Primary ideal
split
Commutative algebra
toc
wiki
93. Principal ideal
split
Commutative algebra
toc
wiki
94. Principal ideal domain
split
Commutative algebra
toc
wiki
95. Principal ideal ring
split
Commutative algebra
toc
wiki
96. Prüfer domain
split
Commutative algebra
toc
wiki
97. Puiseux series
split
Commutative algebra
toc
wiki
98. Quasi-homogeneous polynomial
split
Commutative algebra
toc
wiki
99. Rabinowitsch trick
split
Commutative algebra
toc
wiki
100. Rees algebra
split
Commutative algebra
toc
wiki
101. Rees decomposition
split
Commutative algebra
toc
wiki
102. Ring of mixed characteristic
split
Commutative algebra
toc
wiki
103. Seminormal ring
split
Commutative algebra
toc
wiki
104. Serre's inequality on height
split
Commutative algebra
toc
wiki
105. Serre's multiplicity conjectures
split
Commutative algebra
toc
wiki
106. Spectrum of a ring
split
Commutative algebra
toc
wiki
107. Stanley decomposition
split
Commutative algebra
toc
wiki
108. System of parameters
split
Commutative algebra
toc
wiki
109. Tensor-hom adjunction
split
Commutative algebra
toc
wiki
110. Test ideal
split
Commutative algebra
toc
wiki
111. Tight closure
split
Commutative algebra
toc
wiki
112. Total ring of fractions
split
Commutative algebra
toc
wiki
113. Unibranch local ring
split
Commutative algebra
toc
wiki
114. Weak dimension
split
Commutative algebra
toc
wiki
115. Weierstrass preparation theorem
split
Commutative algebra
toc
wiki
116. Weierstrass ring
split
Commutative algebra
toc
wiki
117. Zariski's finiteness theorem
split
Commutative algebra
toc
wiki
118. Zariski ring
split
Commutative algebra
toc
wiki
119. Zero-divisor graph
split
Commutative algebra
toc
wiki
120. Étale algebra
split
Commutative algebra
toc
wiki
Ancestors
Fields of abstract algebra
Fields of mathematics
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