TY  - BOOK
AU  - Eisenbud,David
TI  - Commutative algebra with a view toward algebraic geometry
T2  - Graduate texts in mathematics
SN  - 0387942696
AV  - QA251.3 .E38 2004
PY  - 2004///
CY  - New York
PB  - Springer-Verlag
KW  - Commutative algebra
KW  - Geometry, Algebraic
N1  - Includes bibliographical references (pages 757-774) and indexes; 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
ER  -