Group corings

Details Group corings Group corings

2007-01-31

arxiv.org/abs/math/0701931v1

Mathematics

Rings and Algebras

38 pages

Scientific paper

We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings are defined, and a Structure Theorem for the $G$-comodules over a Galois group coring is given. We study (graded) Morita contexts associated to a group coring. Our theory is applied to group corings associated to a comodule algebra over a Hopf group coalgebra.

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