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Corings and comodules /

This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Brzezinski, Tomasz, 1966-
Otros Autores: Wisbauer, Robert, 1941-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2003.
Colección:London Mathematical Society lecture note series ; 309.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Brzezinski, Tomasz,  |d 1966- 
245 1 0 |a Corings and comodules /  |c Tomasz Brzezinski, Robert Wisbauer. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 2003. 
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490 1 |a London Mathematical Society lecture note series ;  |v 309 
504 |a Includes bibliographical references (pages 457-469) and index. 
520 |a This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids. 
505 0 |a Cover; Series-title; Title; Copyright; Contents; Preface; Notations; Chapter 1 Coalgebras and comodules; Chapter 2 Bialgebras and Hopf algebras; Chapter 3 Corings and comodules; Chapter 4 Corings and extensions of rings; Chapter 5 Corings and entwining structures; Chapter 6 Weak corings and entwinings; Appendix; Bibliography; Index. 
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650 0 |a Comodules. 
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650 6 |a Comodules. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Comodules  |2 fast 
650 7 |a Corings (Algebra)  |2 fast 
700 1 |a Wisbauer, Robert,  |d 1941- 
776 0 8 |i Print version:  |a Brzezinski, Tomasz, 1966-  |t Corings and comodules.  |d Cambridge ; New York : Cambridge University Press, 2003  |z 0521539315  |w (DLC) 2003046040  |w (OCoLC)51886449 
830 0 |a London Mathematical Society lecture note series ;  |v 309. 
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