On Galois Comodules

DOI10.1080/00927870600651729zbMath1104.16033arXivmath/0408251OpenAlexW2105378500MaRDI QIDQ5489306

Robert Wisbauer

Publication date: 25 September 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408251

zbMATH Keywords

Hopf Galois extensionsadjoint functorsequivalences of categoriescoringsGalois comodulesstatic comodules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Other classes of modules and ideals in associative algebras (16D80) Coalgebras and comodules; corings (16T15)

Related Items (18)

Galois comodules. ⋮ The Galois theory of matrix \(C\)-rings. ⋮ Comonads and Galois corings. ⋮ Galois corings and a Jacobson-Bourbaki type correspondence. ⋮ Morita theory for coring extensions and cleft bicomodules. ⋮ Algebras versus coalgebras ⋮ Descent Cohomology and Corings ⋮ Azumaya algebras as Galois comodules. ⋮ Bimonads and Hopf monads on categories ⋮ CATEGORIES OF COMODULES AND CHAIN COMPLEXES OF MODULES ⋮ Equivalences between categories of modules and categories of comodules. ⋮ Galois functors and entwining structures ⋮ Comodules and Corings ⋮ Monads and comonads on module categories ⋮ Corrigendum to ``A Schneider type theorem for Hopf algebroids. ⋮ Morita Theory for Comodules Over Corings ⋮ Bimodule herds. ⋮ Azumaya monads and comonads

Cites Work

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• On modules associated to coalgebra Galois extensions
• Modules with chain conditions for finite matrix subgroups
• Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings.
• The structure of corings: induction functors, Maschke-type theorem, and Frobenius and Galois-type properties
• Galois comodules.
• On generalized Hopf Galois extensions.

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