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Non-Commutative Ring Theory

Proceedings of a Conference held in Athens, Ohio, Sept. 29-30, 1989

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. Surender Kumar Jain
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  2. Sergio R. López-Permouth
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1448)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-V
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  2. Locally split submodules and modules with perfect endomorphism rings

    • Goro Azumaya
    Pages 1-6

  3. Modules with regular, perfect, noetherian or artinian endomorphism rings

    • Soumaya Makdissi Khuri
    Pages 7-18

  4. Azumaya rings and Maschke's Theorem

    • Joseph A. Wehlen
    Pages 19-24

  5. Uniform modules over serial rings II

    • Bruno J. Müller, Surjeet Singh
    Pages 25-32

  6. Links between prime ideals of a serial ring with Krull dimension

    • Mary H. Wright
    Pages 33-40

  7. Semiprime modules and rings

    • John Dauns
    Pages 41-62

  8. Primitive ideals of nice Ore localizations

    • Mark L. Teply, Blas Torrecillas
    Pages 63-71

  9. Filtered cartan matrices for artinian rings of low Loewy length

    • Kent R. Fuller, Birge Zimmermann-Huisgen
    Pages 72-79

  10. Morita contexts

    • Philippe Loustaunau, Jay Shapiro
    Pages 80-92

  11. On the weak relative-injectivity of rings and modules

    • Abdullah Al-Huzali, S. K. Jain, S. R. López-Permouth
    Pages 93-98

  12. CS-modules and weak CS-modules

    • Patrick F. Smith
    Pages 99-115

  13. On continuous and singular modules

    • S. Tariq Rizvi, Mohamed F. Yousif
    Pages 116-124

  14. Permutation identity rings and the medial radical

    • Gary Birkenmeier, Henry Heatherly
    Pages 125-138

  15. Quantum groups, filtered rings and Gelfand-Kirillov dimension

    • J. C. McConnell
    Pages 139-147

  16. Ore localization in the first Weyl algebra

    • Bruno J. Müller, Ying-Lan Zhang
    Pages 148-154

  17. Ring-theoretical aspects of the Bernstein-Beilinson theorem

    • Timothy J. Hodges
    Pages 155-163

  18. Back Matter

    Pages 165-168
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Keywords

About this book

The papers of this volume share as a common goal the structure and classi- fication of noncommutative rings and their modules, and deal with topics of current research including: localization, serial rings, perfect endomorphism rings, quantum groups, Morita contexts, generalizations of injectivitiy, and Cartan matrices.

Bibliographic Information

  • Book Title: Non-Commutative Ring Theory

  • Book Subtitle: Proceedings of a Conference held in Athens, Ohio, Sept. 29-30, 1989

  • Editors: Surender Kumar Jain, Sergio R. López-Permouth

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0091244

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-53164-7Published: 24 October 1990

  • eBook ISBN: 978-3-540-46745-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 168

  • Topics: Algebra

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