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PRINTED BOOKS
Author Eisenbud, David.

Title Commutative algebra with a view toward algebraic geometry / David Eisenbud.

Published New York : Springer-Verlag, [1995]
©1995

Copies

Location Call No. Status
 UniM Bund  512.44 EISE {Bund89 20200519}    AVAILABLE
Physical description xvi, 785 pages : illustrations ; 24 cm.
Series Graduate texts in mathematics ; 150.
Graduate texts in mathematics ; 150.
Bibliography Includes bibliographical references and index.
Contents 1. Roots of Commutative Algebra -- 2. Localization -- 3. Associated Primes and Primary Decomposition -- 4. Integral Dependence and the Nullstellensatz -- 5. Filtrations and the Artin-Rees Lemma -- 6. Flat Families -- 7. Completions and Hensel's Lemma -- 8. Introduction to Dimension Theory -- 9. Fundamental Definitions of Dimension Theory -- 10. The Principal Ideal Theorem and Systems of Parameters -- 11. Dimension and Codimension One -- 12. Dimension and Hilbert-Samuel Polynomials -- 13. The Dimension of Affine Rings -- 14. Elimination Theory, Generic Freeness, and the Dimension of Fibers -- 15. Grobner Bases -- 16. Modules of Differentials -- 17. Regular Sequences and the Koszul Complex -- 18. Depth, Codimension, and Cohen-Macaulay Rings -- 19. Homological Theory of Regular Local Rings -- 20. Free Resolutions and Fitting Invariants -- 21. Duality, Canonical Modules, and Gorenstein Rings -- Appendix 1 Field Theory -- Appendix 2 Multilinear Algebra.
Appendix 3 Homological Algebra -- Appendix 4 A Sketch of Local Cohomology -- Appendix 5 Category Theory -- Appendix 6 Limits and Colimits.
Subject Commutative algebra.
Geometry, Algebraic.
ISBN 0387942688 (hard cover)
0387942696 (soft cover)