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Corings and Comodules

Corings and Comodules

$88.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: September 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521539319

$ 88.99 (C)
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About the Authors
  • After describing the module-theoretic aspects of coalgebras over commutative rings, this volume defines corings as coalgebras for non-commutative rings. Topics covered include module-theoretic aspects of corings (such as the relation of comodules to special subcategories of modules: sigma-type categories); connections between corings and extensions of rings; properties of new examples of corings associated to entwining structures; generalizations of bialgebras such as bialgebroids and weak bialgebras; and the appearance of corings in non-commutative geometry.

    • First book devoted to the rapidly developing theory of corings
    • Provides connections with other branches of pure mathematics and mathematical physics
    • Incorporates most recent developments
    • Developing the module-theoretic aspects of corings it extends the theory of Hopf algebras and quantum groups
    • Self-contained exposition with expanded appendices, which makes it suitable for graduate students
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    Reviews & endorsements

    'This book is clearly written and it is the first account of what is known about coring theory. The book can be used as a textbook for a very good graduate course in coalgebras and corings. It will also help to develop and increase the interest in the theory of corings. I also expect that it will be a standard reference for corings in the future.' Zentralblatt MATH

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    Product details

    • Date Published: September 2003
    • format: Paperback
    • isbn: 9780521539319
    • length: 490 pages
    • dimensions: 230 x 153 x 26 mm
    • weight: 0.671kg
    • availability: Available
  • Table of Contents

    Preface
    Notations
    1. Coalgebras and comodules
    2. Bialgebras and hopf algebras
    3. Corings and comodules
    4. Corings and extensions of rings
    5. Corings and entwining structures
    6. Weak corings and entwining
    Appendix.

  • Resources for

    Corings and Comodules

    Tomasz Brzezinski, Robert Wisbauer

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  • Authors

    Tomasz Brzezinski, University of Wales, Swansea

    Robert Wisbauer, Heinrich-Heine-Universität Düsseldorf

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