Galois extensions for co-Frobenius Hopf algebras

DOI10.1006/jabr.1997.7146zbMath0901.16017OpenAlexW2095357663MaRDI QIDQ1375979

Beattie, Margaret, Sorin Dascalescu, Serban Raianu

Publication date: 23 November 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7146

zbMATH Keywords

comodule algebrasGalois extensionsMorita contextssmash productsco-Frobenius Hopf algebrasrings of coinvariants

Mathematics Subject Classification ID

Related Items (22)

Morita theory for corings and cleft entwining structures. ⋮ The Galois theory of matrix \(C\)-rings. ⋮ Radford's \(S^4\) formula for co-Frobenius Hopf algebras. ⋮ Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups ⋮ Integrals for (dual) quasi-Hopf algebras. Applications ⋮ Frobenius cowreaths and Morita contexts ⋮ A correspondence between homogeneous and Galois coactions of Hopf algebras ⋮ Nakayama functors for coalgebras and their applications to Frobenius tensor categories ⋮ A-H-BIMODULES AND EQUIVALENCES ⋮ Wide Morita contexts, relative injectivity and equivalence results. ⋮ A Morita Context and Galois Extensions for Quasi-Hopf Algebras ⋮ The Structure of Weak Coalgebra-Galois Extensions ⋮ Morita Contexts, π-Galois Extensions for Hopf π-Coalgebras ⋮ On the Antipode of a Co-Frobenius (Co)Quasitriangular Hopf Algebra ⋮ Morita Theory for Comodules Over Corings ⋮ On generalized partial twisted smash products ⋮ Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties ⋮ On generalized Hopf Galois extensions. ⋮ Morita Contexts and Partial Group Galois Extensions for Hopf Group Coalgebras ⋮ Morphisms of relative Hopf modules, smash products, and duality ⋮ Morita context, partial Hopf Galois extensions and partial entwining structure. ⋮ A co-Frobenius Hopf algebra with a separable Galois extension is finite

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