Gorenstein Dimensions

  • Authors
  • Lars Winther Christensen

Part of the Lecture Notes in Mathematics book series (LNM, volume 1747)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Lars Winther Christensen
    Pages 1-2
  3. Lars Winther Christensen
    Pages 3-8
  4. Lars Winther Christensen
    Pages 9-15
  5. Lars Winther Christensen
    Pages 17-40
  6. Lars Winther Christensen
    Pages 41-63
  7. Lars Winther Christensen
    Pages 65-90
  8. Lars Winther Christensen
    Pages 91-112
  9. Lars Winther Christensen
    Pages 113-134
  10. Lars Winther Christensen
    Pages 135-158
  11. Back Matter
    Pages 159-204

About this book

Introduction

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.

Keywords

Algebra Auslander-Buchsbaum formulas Cohen-Macaulay rings Foxby equivalence Gorenstein dimensions Gorenstein rings Invariant Mathematics Subjekt Classification Morphism commutative property proof

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0103980
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-41132-1
  • Online ISBN 978-3-540-40008-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book