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Book Cover
E-book
Author Brzezinski, Tomasz, 1966-

Title Corings and comodules / Tomasz Brzezinski, Robert Wisbauer
Published Cambridge ; New York : Cambridge University Press, 2003

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Description 1 online resource (x, 476 pages)
Series London Mathematical Society lecture note series ; 309
London Mathematical Society lecture note series ; 309.
Contents 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
Summary 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
Bibliography Includes bibliographical references (pages 457-469) and index
Notes Print version record
Subject Corings (Algebra)
Comodules.
MATHEMATICS -- Algebra -- Intermediate.
Comodules
Corings (Algebra)
Form Electronic book
Author Wisbauer, Robert, 1941-
ISBN 0511065620
9780511065620
0511067755
9780511067754
9780511546495
0511546491
9780521539319
0521539315
1280414804
9781280414800