Examples of Commutative Rings |
Contents
Domains | 12 |
Miscellaneous Properties | 18 |
B Localization | 24 |
Copyright | |
5 other sections not shown
Common terms and phrases
abelian group affine ring algebraic extension Amer ascending chain Bézout domain Bourbaki catenary chain of prime char(K Cl(T closure Cohen-Macaulay commutative rings completely integrally closed contained countably Dedekind domain dim(R dim(T dimension domain with quotient factorial domain flat Fossum fractional ideal G-domain Gilmer Gorenstein group of divisibility Heinzer Hilbert domain Hilbert ring ht(P ideal of height infinite infinite-dimensional injective integral extension integrally closed domain intersection invertible irreducible isomorphic Kaplansky 1974b Krull domain L₁ Let R₁ Math Matsumura 1970 maximal ideal module Nagata nilpotent elements Noetherian domain Noetherian ring Noetherian valuation domain nonzero elements Notice P₁ polynomial ring positive integer prime ideal prime integer principal ideal domain principal prime Prüfer domain pseudo-Bézout pseudo-principal quotient field R-module R-sequence R₂ radical ideal regular domain regular local ring sequence subgroups subring Suppose theorem topology torsion-free value group X₁ Y₁ zero-divisor ㅁㅁㅁㅁㅁ