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Commutative algebra with a view toward algebraic geometry / David Eisenbud.
Math/Physics/Astronomy Library QA251.3 .E38 2004
By Request
- Format:
- Book
- Author/Creator:
- Eisenbud, David.
- Series:
- Graduate texts in mathematics ; 150.
- Graduate texts in mathematics ; 150
- Language:
- English
- Subjects (All):
- Commutative algebra.
- Geometry, Algebraic.
- Physical Description:
- xvi, 797 pages : illustrations ; 24 cm.
- Edition:
- Corr. 3rd print.
- Place of Publication:
- New York : Springer-Verlag, 2004.
- 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.
- Notes:
- Includes bibliographical references (pages 757-774) and indexes.
- ISBN:
- 0387942696
- 9780387942698
- 0387942688
- 9780387942681
- 3540942696
- 9783540942696
- OCLC:
- 57717588
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