Skip to main content
SpringerLink
Log in
Book cover

Gorenstein Dimensions

  • Book
  • © 2000

Overview

Authors:
  1. Lars Winther Christensen
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (9 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Introduction

    • Lars Winther Christensen
    Pages 1-2

  3. Synopsis

    • Lars Winther Christensen
    Pages 3-8

  4. Conventions and prerequisites

    • Lars Winther Christensen
    Pages 9-15

  5. The classical Gorenstein dimension

    • Lars Winther Christensen
    Pages 17-40

  6. G-dimension and reflexive complexes

    • Lars Winther Christensen
    Pages 41-63

  7. Auslander categories

    • Lars Winther Christensen
    Pages 65-90

  8. G-projectivity

    • Lars Winther Christensen
    Pages 91-112

  9. G-flatness

    • Lars Winther Christensen
    Pages 113-134

  10. G-injectivity

    • Lars Winther Christensen
    Pages 135-158

  11. Back Matter

    Pages 159-204
    Download chapter PDF
Back to top

Keywords

About this book

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.

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

Publish with us

Policies and ethics

Back to top

Search

Navigation