عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
0387942688
0387942696
3540942696
9780387942681
9780387942698
9783540942696
dltt
Commutative algebra with a view toward algebraic geometry /
[Book]
David Eisenbud
Corrected third print
xvi, 797 pages :
illustrations ;
24 cm
Graduate texts in mathematics ;
150
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
0
Commutative algebra
Geometry, Algebraic
Eisenbud, David
20161026114831.0
rda
مطالعه متن کتاب [Book]
Y
