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.

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Bibliographic Information

Book Title: Gorenstein Dimensions
Authors: Lars Winther Christensen
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0103980
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2000
Softcover ISBN: 978-3-540-41132-1Published: 06 November 2000
eBook ISBN: 978-3-540-40008-0Published: 06 May 2007
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 210
Topics: Algebra, K-Theory, Mathematics, general

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Table of contents (9 chapters)

Front Matter

Back Matter

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