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Rings with Morita Duality

  • Book
  • © 1992

Overview

Authors:
  1. Weimin Xue
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1523)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction to Morita duality

    • Weimin Xue
    Pages 1-53

  3. Morita duality and ring extensions

    • Weimin Xue
    Pages 54-83

  4. Artinian rings with Morita duality (I)

    • Weimin Xue
    Pages 84-110

  5. Artinian rings (II) — Azumaya's exact rings

    • Weimin Xue
    Pages 111-148

  6. Other types of rings with duality

    • Weimin Xue
    Pages 149-159

  7. Back Matter

    Pages 160-167
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Keywords

About this book

Associative rings that possess Morita dualities or self- dualities form the object of this book. They are assumed to have an identity and modules are assumed unitary. The book sets out to give an extensive introduction to thisclass of rings, covering artinian rings, ring extensions, Azuma- ya's exact rings, and more. Among the interesting results presented are a characterization of duality via linear com- pactness, ring extensions with dualities, and exact rings. Some basic knowledge of rings and modules is expected of the reader.

Bibliographic Information

  • Book Title: Rings with Morita Duality

  • Authors: Weimin Xue

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0089071

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-55770-8Published: 10 September 1992

  • eBook ISBN: 978-3-540-47283-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 170

  • Topics: Algebra

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