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- W2569969413 abstract "Entwined modules over cowreaths in a monoidal category are introduced. Monoidal cowreaths can be identified to coalgebras in an appropriate monoidal category. It is investigated when such coalgebras are Frobenius (resp. separable), and when the forgetful functor from entwined modules to representations of the underlying algebra $A$ is Frobenius (resp. separable). These properties are equivalent when the unit object of the category is an $otimes$-generator, a property stronger than the generator property. Our results are applied to Doi-Hopf modules, two-sided Hopf modules and Yetter-Drinfeld modules over a quasi-Hopf algebra." @default.
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- W2569969413 date "2016-12-30" @default.
- W2569969413 modified "2023-09-27" @default.
- W2569969413 title "Frobenius and separable functors for the category of entwined modules over monoidal cowreaths. Applications" @default.
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