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Corings and Comodules

$88.99 (C)

Part of London Mathematical Society Lecture Note Series

Authors:
Tomasz Brzezinski, University of Wales, Swansea
Robert Wisbauer, Heinrich-Heine-Universität Düsseldorf

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

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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.
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