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Corings and Comodules

Corings and Comodules - 03 edition

Corings and Comodules - 03 edition

ISBN13: 9780511059315

ISBN10: 0511059310

Corings and Comodules by Tomasz Brzezinski and Robert Wisbauer - ISBN 9780511059315
Edition: 03
Copyright: 2003
Publisher: Cambridge University Press
Published:
International: No
Corings and Comodules by Tomasz Brzezinski and Robert Wisbauer - ISBN 9780511059315

ISBN13: 9780511059315

ISBN10: 0511059310

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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 entwining structures; generalizations of bialgebras such as bialgebroids and weak bialgebras; and the appearance of corings in non-commutative geometry.