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  • © 1975

Trivial Extensions of Abelian Categories

Homological Algebra of Trivial Extensions of Abelian Catergories with Applications to Ring Theory

Part of the book series: Lecture Notes in Mathematics (LNM, volume 456)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
  2. Preliminaries

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 1-2
  3. Generalities

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 3-23
  4. Coherence

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 24-34
  5. Duality and the Gorenstein property

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 35-51
  6. Homological dimensions in A ⋉ F

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 52-86
  7. Gorenstein modules

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 87-103
  8. Dominant dimension of finite algebras

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 104-112
  9. Representation dimension of finite algebras

    • Robert M. Fossum, Phillip A. Griffith, Idun Reiten
    Pages 113-116
  10. Back Matter

    Pages 117-122

Keywords

  • Abelsche Kategorie
  • Assoziativer Ring
  • Finite
  • Homological algebra
  • Kommutativer Ring
  • algebra
  • category theory

Bibliographic Information

  • Book Title: Trivial Extensions of Abelian Categories

  • Book Subtitle: Homological Algebra of Trivial Extensions of Abelian Catergories with Applications to Ring Theory

  • Authors: Robert M. Fossum, Phillip A. Griffith, Idun Reiten

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0065404

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1975

  • Softcover ISBN: 978-3-540-07159-4Published: 20 May 1975

  • eBook ISBN: 978-3-540-37487-9Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 126

  • Topics: Mathematics

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions