Frobenius functors for corings

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

We investigate 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.

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