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Corings and comodules

Author: Tomasz Brzezinski; Robert Wisbauer
Publisher: Cambridge ; New York : Cambridge University Press, 2003.
Series: London Mathematical Society lecture note series, 309.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Tomasz Brzezinski; Robert Wisbauer
ISBN: 0521539315 9780521539319
OCLC Number: 51886449
Description: x, 476 pages ; 23 cm.
Contents: 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 entwinings.
Series Title: London Mathematical Society lecture note series, 309.
Responsibility: Tomasz Brzezinski, Robert Wisbauer.
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Abstract:

This is the first extensive treatment of the theory of corings and their comodules.  Read more...

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'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 Read more...

 
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