Frobenius and separable functors for the category of entwined modules over cowreaths, I: General theory

Daniel Bulacu, Stefaan Caenepeel, Blas Torrecillas

Onderzoeksoutput: Articlepeer review

7 Citaten (Scopus)
11 Downloads (Pure)

Samenvatting

Entwined modules over cowreaths in a monoidal category are introduced. They 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 is Frobenius (resp. separable). These properties are equivalent when the unit object of the category is a ⊗-generator.

Originele taal-2English
Pagina's (van-tot)1119-1157
Aantal pagina's39
TijdschriftAlgebras and Representation Theory
Volume23
Nummer van het tijdschrift3
DOI's
StatusPublished - 1 jun 2020

Bibliografische nota

Publisher Copyright:
© 2019, Springer Nature B.V.

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

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