Weak Frobenius monads and Frobenius bimodules

As observed by Eilenberg and Moore (1965), for a monad F with right adjoint comonad G on any category A, the category of unital F-modules AF is isomorphic to the category of counital G-comodules AG. The monad F is Frobenius provided we have F=G and then AF≃AF. Here we investigate which kind of is...

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Published in:Algebra and Discrete Mathematics
Date:2016
Main Author: Wisbauer, R.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2016
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/155238
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Weak Frobenius monads and Frobenius bimodules / R. Wisbauer // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 2. — С. 287–308. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine