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" Commutative algebra with a view toward algebraic geometry / "
David Eisenbud
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BL
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| Record Number
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627688
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dltt
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| Main Entry
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Eisenbud, David
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| Title & Author
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Commutative algebra with a view toward algebraic geometry /\ David Eisenbud
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| Edition Statement
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Corrected third print
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| Series Statement
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Graduate texts in mathematics ;; 150
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| Page. NO
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xvi, 797 pages :: illustrations ;; 24 cm
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| ISBN
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0387942696
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: 9780387942698
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: 0387942688
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: 9780387942681
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: 3540942696
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: 9783540942696
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| Bibliographies/Indexes
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Includes bibliographical references (pages 757-774) and indexes
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| Contents
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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
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| Subject
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Commutative algebra
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| Subject
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Geometry, Algebraic
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