Corings and comodules

Author(s): Tomasz Brzezinski, Robert Wisbauer

Series: London Mathematical Society lecture note series 309

Publisher: Cambridge University Press, Year: 2003

Description:
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.