Morita theory for corings and cleft entwining structures.

DOI10.1016/j.jalgebra.2004.02.002zbMath1064.16037arXivmath/0206198OpenAlexW2034784160MaRDI QIDQ1883057

Shuan-Hong Wang, Stefaan Caenepeel, Joost Vercruysse

Publication date: 1 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0206198

zbMATH Keywords

monoidal categoriescleft comodule algebrasMorita contextscoalgebrassmash productsentwining structurescoringsgrouplike elements

Mathematics Subject Classification ID

Related Items (21)

FULLY BOUNDED NOETHERIAN RINGS AND FROBENIUS EXTENSIONS ⋮ Cleft extensions of Hopf algebroids. ⋮ Morita theory for coring extensions and cleft bicomodules. ⋮ Group corings. ⋮ Frobenius cowreaths and Morita contexts ⋮ Adjoint functors and equivalences of subcategories ⋮ Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory ⋮ A Larson-Sweedler theorem for Hopf \(\mathcal{V} \)-categories ⋮ Group Corings and (Invertible) Weak Group Entwining Structures ⋮ SMASH PRODUCTS, SEPARABLE EXTENSIONS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS ⋮ Morita contexts and Galois theory for weak Hopf comodulelike algebras. ⋮ Finitary Galois extensions over noncommutative bases. ⋮ Weak \(C\)-cleft extensions and weak Galois extensions. ⋮ Hopf Algebroids ⋮ A Morita Context and Galois Extensions for Quasi-Hopf Algebras ⋮ Morita Contexts, π-Galois Extensions for Hopf π-Coalgebras ⋮ GroupC-Rings and Weak Group Algebra Galois Coextensions ⋮ Galois corings and groupoids acting partially on algebras ⋮ Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties ⋮ New Turaev Braided Group Categories and Group Corings Based on Quasi-Hopf Group Coalgebras ⋮ Projectivity and flatness over the endomorphism ring of a finitely generated quasi-Poisson comodule

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