Algebras versus coalgebras

DOI10.1007/s10485-007-9076-5zbMath1154.18001OpenAlexW2037615060MaRDI QIDQ2426119

Robert Wisbauer

Publication date: 21 April 2008

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-007-9076-5

zbMATH Keywords

coalgebrascategoriescomonadstensor productalgebraslifting of monadsdimodulesHopf algebras, monads

Mathematics Subject Classification ID

Related Items (27)

EXTENDED DISTRIBUTIVE LAW: COWREATH OVER CORINGS ⋮ Unnamed Item ⋮ A CATEGORICAL APPROACH TO ALGEBRAS AND COALGEBRAS ⋮ Hopf monads: a survey with new examples and applications ⋮ Unnamed Item ⋮ On adjunction contexts and regular quasi-monads ⋮ Semientwining structures and their applications. ⋮ LIFTING THEOREMS FOR TENSOR FUNCTORS ON MODULE CATEGORIES ⋮ Bimonads and Hopf monads on categories ⋮ Adjunctions of Hom and Tensor as Endofunctors of (Bi-)Module Categories Over Quasi-Hopf Algebras ⋮ Entwining structures in monoidal categories ⋮ Galois functors and generalised Hopf modules ⋮ Pre-torsors and Galois comodules over mixed distributive laws ⋮ Smash coproducts of monoidal comonads and Hom-entwining structures ⋮ The weak theory of monads ⋮ Galois functors and entwining structures ⋮ Comodules and Corings ⋮ Crossed products in weak contexts. ⋮ Coalgebraic structures in module theory ⋮ Monads and comonads on module categories ⋮ Preunits and weak crossed products ⋮ Compatibility Conditions Between Rings and Corings ⋮ Eilenberg-Moore and Kleisli type categories for bimonads on arbitrary categories ⋮ Generalised bialgebras and entwined monads and comonads ⋮ Discrete density comonads and graph parameters ⋮ Hom-Tensor Relations for Two-Sided Hopf Modules Over Quasi-Hopf Algebras ⋮ Azumaya monads and comonads

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