Monads and comonads on module categories
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Publication:734798
DOI10.1016/j.jalgebra.2009.06.003zbMath1208.18003arXiv0804.1460OpenAlexW2079411541MaRDI QIDQ734798
Tomasz Brzeziński, Robert Wisbauer, Böhm, Gabriella
Publication date: 13 October 2009
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.1460
Module categories in associative algebras (16D90) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Hopf algebras and their applications (16T05)
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Cites Work
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- Comonads and Galois corings.
- Adjoint monads and an isomorphism of the Kleisli categories
- Equivalences between categories of modules and categories of comodules.
- Separable functors applied to graded rings
- Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings.
- Combining a monad and a comonad
- Hopf monads
- Galois comodules.
- Algebras versus coalgebras
- Adjoint functors and triples
- Kan extensions in enriched category theory
- The formal theory of monads
- Bimonads and Hopf monads on categories
- Separable functors revisited
- Monad compositions II: Kleisli strength
- Compatibility Conditions Between Rings and Corings
- Frobenius monads and pseudomonoids
- Foundations of relative homological algebra
- On Galois Comodules
- Lifting theorems for Kleisli categories
- Monads on tensor categories