Gorenstein dimensions
Author(s)
Bibliographic Information
Gorenstein dimensions
（Lecture notes in mathematics, 1747）
Springer, c2000
Available at / 74 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/M||LNM||174778800254
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Note
Includes bibliographical references (p. [191]-195) and index
Description and Table of Contents
Description
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.
Table of Contents
Synopsis.- Conventions and prerequisites.- The classical Gorenstein dimension.- G-dimension and reflexive complexes.- Auslander categories.- G-projectivity.- G-flatness.- G-injectivity.
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