Corings and Comodules
Corings and Comodules
Robert Wisbauer, Heinrich-Heine-Universität Düsseldorf
$94.00
USDAfter 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
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
Product details
December 2004Adobe eBook Reader
9780511059315
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
