Commutative algebra

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Noetherian ring Primary decomposition Dimension theory Acceptable ring Artin rees lemma Artinian ideal Artinian module Artinian ring Associated graded ring Associated prime Beauville laszlo theorem Beilinson bernstein localization Bezout domain Binomial ring Buchsbaum ring Canonical module Cohen macaulay module Combinatorial commutative algebra Completion ring theory Conductor ring theory Depth algebra Depth ring theory Dimension theory algebra Discrete valuation Discrete valuation ring Dualizing module Faltings annihilator theorem Gcd domain Generalized cohen macaulay ring Going up and going down Goldman domain Gorenstein ring Grade ring theory Height ring theory Hensel lemma Hilbert kunz function Hilbert poincare series Hilbert polynomial Hilbert serre theorem Hilberts basis theorem Hilberts nullstellensatz Homological conjectures I adic topology Integral closure Integral closure of an ideal Integral element Jacobson ring Jaffard ring Kahler differential Krull dimension Krull ring Krull schmidt theorem Krulls principal ideal theorem Lasker noether theorem Local ring Localization commutative algebra Localization of a module Marot ring Matlis module Nakayamas lemma Noether normalization lemma Noetherian module Primary ideal Prime avoidance lemma Principal ideal domain Principalization algebra Prufer domain Quasi unmixed ring Regular local ring Regular sequence algebra Schreier domain Semi local ring Seminormal ring Serres multiplicity conjectures Simplicial commutative ring Spectrum Structure theorem for finitely generated modules over a principal ideal domain Valuation ring Weierstrass preparation theorem Anti commutative algebra Balanced module Chain module Completely reducible module Cyclic module Depth of a module Derivations module of Dieudonn module Differential operator on a module Double module Extension of a module Filtered module Graded module Irreducible module Localization in a commutative algebra Localization in categories Localization principle Multiplicity of a module Rank of a module Semi chain module Skein module Specht module Steinberg module Support of a module Tilting module Torsion free module Unitary module Whitehead module Whitehead test module

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