Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties

DOI10.1090/S0002-9947-06-03857-8zbMath1115.16017arXivmath/0406436OpenAlexW2123154240MaRDI QIDQ3420307

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Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406436

zbMATH Keywords

Morita contextsdescent theorycomodulescomatrix coringsGalois corings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90)

Related Items

Representable Functors for Corings ⋮ Galois comodules. ⋮ On comonadicity of the extension-of-scalars functors ⋮ Comatrix corings and Galois comodules over firm rings. ⋮ The Galois theory of matrix \(C\)-rings. ⋮ Constructing infinite comatrix corings from colimits. ⋮ Comonads and Galois corings. ⋮ Morita theory for coring extensions and cleft bicomodules. ⋮ Semiseparable functors ⋮ Geometrically partial actions ⋮ Descent Cohomology and Corings ⋮ Naturally full functors in nature. ⋮ Group Corings and (Invertible) Weak Group Entwining Structures ⋮ Comatrix Coring Generalized and Equivalences of Categories of Comodules ⋮ SMASH PRODUCTS, SEPARABLE EXTENSIONS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS ⋮ Comodules and Corings ⋮ GroupC-Rings and Weak Group Algebra Galois Coextensions ⋮ Morita Theory for Comodules Over Corings ⋮ New Turaev Braided Group Categories and Group Corings Based on Quasi-Hopf Group Coalgebras

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