EXTENDED DISTRIBUTIVE LAW: COWREATH OVER CORINGS

DOI10.1142/S021949881000380XzbMath1229.16023arXivmath/0612818OpenAlexW2108898336MaRDI QIDQ5305537

Laiachi El Kaoutit

Publication date: 22 March 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612818

zbMATH Keywords

bimodulescomodulesentwining structurescoringscowreathslifting functorswreathsextended distributive law

Mathematics Subject Classification ID

Related Items (6)

Biwreaths: a self-contained system in a 2-category that encodes different known algebraic constructions and gives rise to new ones ⋮ Frobenius and separable functors for the category of entwined modules over cowreaths. I: general theory ⋮ Partial generalized crossed products and a seven term exact sequence ⋮ Invertible unital bimodules over rings with local units, and related exact sequences of groups. II. ⋮ LIFTING THEOREMS FOR TENSOR FUNCTORS ON MODULE CATEGORIES ⋮ Internal Kleisli categories

Cites Work

• Homotopy theory in general categories
• Comonads and Galois corings.
• Descent theory and Amitsur cohomology of triples.
• The factorization problem and the smash biproduct of algebras and coalgebras
• Separable functors in corings
• The formal theory of monads. II
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Algebras versus coalgebras
• The formal theory of monads
• Corings over rings with local units
• Adjoint Lifting Theorems for Categories of Algebras
• Frobenius functors: applications
• On twisted tensor products of algebras

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