Galois correspondences for Hopf bigalois extensions

DOI10.1006/jabr.1997.7237zbMath0912.16019OpenAlexW1965826290MaRDI QIDQ1268088

Peter Schauenburg

Publication date: 25 May 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7237

zbMATH Keywords

Galois connectionsbijective antipodesHopf Galois theorybicomodulesbigalois extensionsfaithfully flat right Galois extensionslattices of Hopf subalgebrasleft comodule algebrasleft Galois extensionsquotient coalgebras

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Bi-Galois objects over the Taft algebras, Normal Hopf subalgebras in cocycle deformations of finite groups., Faithfully Flat Hopf Bi-Galois Extensions, Galois objects over generalized Drinfeld doubles, with an application to \(u_q({\mathfrak sl}_2)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Principal homogeneous spaces for arbitrary Hopf algebras
• Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
• Relative Hopf modules - equivalences and freeness criteria
• On Hopf algebras with cocommutative coradicals
• Normal basis and transitivity of crossed products for Hopf algebras
• Galois-type correspondences for Hopf-Galois extensions
• Hopf Galois theory for separable field extensions
• The Brauer group of a cocommutative coalgebra
• Separable algebras over commutative rings
• A correspondence between Hopf ideals and sub-Hopf algebras
• Some remarks on exact sequences of quantum groups
• Quantum groups and representations of monoidal categories
• Galoiserweiterungen von night-kommutativen ringen
• Frobenius extensions of subalgebras of Hopf algebras
• Hopf bigalois extensions
• On a transformation of the hopf algebra in a hopf galois extension
• A bialgebra that admits a Hopf-Galois extension is a Hopf algebra