Corings And Comodules (london Mathematical Society Lecture Note Series)
by by Tomasz Brzezinski /
2003 / English / PDF
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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.