Tomasz Brzezinski, Robert Wisbauer “Corings and Comodules”
Cambridge University Press | 2003-09-15 | ISBN: 0521539315 | 488 pages | PDF | 1,9 Mb
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.
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