Gorenstein dimensions /

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Bibliographic Details
Author / Creator:Christensen, Lars Winther, 1969-
Imprint:Berlin ; New York : Springer, ©2000.
Description:1 online resource (viii, 204 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1747
Lecture notes in mathematics (Springer-Verlag) ; 1747.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11065938
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ISBN:9783540400080
3540400087
3540411321
9783540411321
Notes:Includes bibliographical references (pages 191-195) and index.
Summary:This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods.
Other form:Print version: Christensen, Lars Winther, 1969- Gorenstein dimensions. Berlin ; New York : Springer, ©2000 3540411321