LIFTING THEOREMS FOR TENSOR FUNCTORS ON MODULE CATEGORIES

DOI10.1142/S0219498811004471zbMath1232.16005MaRDI QIDQ2995434

Robert Wisbauer

Publication date: 21 April 2011

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

zbMATH Keywords

coalgebrasYang-Baxter equationsmash productsentwining structurestensor functorsdistributive lawsendofunctorsliftings of functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Smash products of general Hopf actions (16S40) Coalgebras and comodules; corings (16T15)

Related Items (2)

Semientwining structures and their applications. ⋮ Coalgebraic structures in module theory

Cites Work

• Monads and comonads on module categories
• Self-inverse Yang-Baxter operators from (co)algebra structures
• Descent theory and Amitsur cohomology of triples.
• The factorization problem and the smash biproduct of algebras and coalgebras
• Combining a monad and a comonad
• 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
• Compatibility Conditions Between Rings and Corings
• Adjoint Lifting Theorems for Categories of Algebras
• Crossed products by a coalgebra
• On twisted tensor products of algebras
• Yang-baxter operators arising from (co)algebra structures
• EXTENDED DISTRIBUTIVE LAW: COWREATH OVER CORINGS
• Homological Algebra of Semimodules and Semicontramodules

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