The structure of corings with a grouplike element

Details The structure of corings with a grouplike element The structure of corings with a grouplike element

2001-08-17

arxiv.org/abs/math/0108117v2

Mathematics

Rings and Algebras

14 pages, LaTeX, uses diagrams.tex Version to appear in Banach Center Publications

Scientific paper

Characteristic properties of corings with a grouplike element are analysed.
Associated differential graded rings are studied. A correspondence between
categories of comodules and flat connections is established. A generalisation
of the Cuntz-Quillen theorem relating existence of connections in a module to
projectivity of this module is proven.

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