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Algebra II Ring Theory

Vol. 2: Ring Theory

  • Book
  • © 1976

Overview

Editors:
  1. Carl Faith

    1. Rutgers, The State University, New Brunswick, USA
      The Institute for Advanced Study, Princeton, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 191)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Introduction to Volume II

    1. Introduction to Volume II

      • Carl Faith
      Pages 1-5

  3. Ring Theory

    1. Front Matter

      Pages 7-7
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    2. Modules of Finite Length and their Endomorphism Rings

      • Carl Faith
      Pages 9-26

    3. Semilocal Rings and the Jacobson Radical

      • Carl Faith
      Pages 27-60

    4. Quasinjective Modules and Selfinjective Rings

      • Carl Faith
      Pages 61-108

    5. Direct Sum Representations of Rings and Modules

      • Carl Faith
      Pages 109-141

    6. Azumaya Diagrams

      • Carl Faith
      Pages 142-150

    7. Projective Covers and Perfect Rings

      • Carl Faith
      Pages 151-176

    8. Morita Duality

      • Carl Faith
      Pages 177-202

    9. Quasi-Frobenius Rings

      • Carl Faith
      Pages 203-222

    10. Sigma Cyclic and Serial Rings

      • Carl Faith
      Pages 223-251

    11. Semiprimitive Rings, Semiprime Rings, and the Nil Radical

      • Carl Faith
      Pages 252-265

  4. Back Matter

    Pages 266-304
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Keywords

Editors and Affiliations

  • Rutgers, The State University, New Brunswick, USA

    Carl Faith

  • The Institute for Advanced Study, Princeton, USA

    Carl Faith

Bibliographic Information

  • Book Title: Algebra II Ring Theory

  • Book Subtitle: Vol. 2: Ring Theory

  • Editors: Carl Faith

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-65321-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1976

  • Softcover ISBN: 978-3-642-65323-0Published: 12 November 2011

  • eBook ISBN: 978-3-642-65321-6Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: XVIII, 304

  • Topics: Algebra

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