Corings and Comodules

ISBN-13: 9780521539319 / Angielski / Miękka / 2003 / 490 str.

Tomasz Brzezinski; Robert Wisbauer; J. W. S. Cassels

Opis

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.