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" Commutative algebra with a view toward algebraic geometry / "


Document Type : BL
Record Number : 627688
Doc. No : dltt
Main Entry : Eisenbud, David
Title & Author : Commutative algebra with a view toward algebraic geometry /\ David Eisenbud
Edition Statement : Corrected third print
Series Statement : Graduate texts in mathematics ;; 150
Page. NO : xvi, 797 pages :: illustrations ;; 24 cm
ISBN : 0387942696
: : 9780387942698
: : 0387942688
: : 9780387942681
: : 3540942696
: : 9783540942696
Bibliographies/Indexes : Includes bibliographical references (pages 757-774) and indexes
Contents : Introduction -- Roots of commutative algebra -- Localization -- Associated primes and primary decomposition -- Integral dependence and the nullstellensatz -- Filtrations and the Artin-Rees Lemma -- Flat families -- Completions and Hensel's Lemma -- Introduction to dimension theory -- Fundamental definitions of dimension theory -- The principal ideal theorem and systems of parameters -- Dimension and codimension one -- Dimension and Hilbert-Samuel Polynomials -- The dimension of affine rings -- Elimination theory, generic freeness, and the dimension of fibers -- Gröbner bases -- Modules of differentials -- Regular sequences and the Koszul complex -- Depth, codimension, and Cohen-Macaulay rings -- Homological theory of regular local rings -- Free resolutions and fitting invariants -- Duality, canonical modules, and Gorenstein rings
Subject : Commutative algebra
Subject : Geometry, Algebraic
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copyhttps://lib.clisel.com/site/catalogue/627688
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