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arxiv: math/0410626 · v1 · submitted 2004-10-29 · 🧮 math.RA

Frobenius functors for corings

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keywords coringsfrobeniusfunctorsadjointappliedassociatedbasecase
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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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