Adjoint and Frobenius Pairs of Functors for Corings

Details Adjoint and Frobenius Pairs of Functors for Corings Adjoint and Frobenius Pairs of Functors for Corings

2005-05-23

arxiv.org/abs/math/0505478v2

Mathematics

Rings and Algebras

Scientific paper

We investigate adjoint and Frobenius pairs between categories of comodules over rather general corings. We particularize to the case of the adjoint pair of functors associated to a morphism of corings over different base rings, which leads to a reasonable notion of Frobenius coring extension. When applied to corings stemming from entwining structures, we obtain new results in this setting and in graded ring theory.

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