Corings and Comodules

Klappentext 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. Zusammenfassung This is the first extensive treatment of the theory of corings and their comodules. Inhaltsverzeichnis 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.

Product details

• Authors: Tomasz Brzezinski, Tomasz (University of Wales Brzezinski, Tomasz Wisbauer Brzezinski, Robert Wisbauer, Robert (Heinrich-Heine-Universitat Dusseldorf) Wisbauer
• Assisted by: J. W. S. Cassels (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 15.09.2003
• EAN: 9780521539319
• ISBN: 978-0-521-53931-9
• No. of pages: 490
• Series: London Mathematical Society Lecture Note Series; London Mathematical Society Le; London Mathematical Society Le
• Subject: Natural sciences, medicine, IT, technology > Technology > Miscellaneous