Faithfully Flat Hopf Bi-Galois Extensions

DOI10.1080/00927872.2010.489531zbMath1233.16025OpenAlexW2049701312MaRDI QIDQ3092964

Shenglin Zhu, Cai-Hong Wang

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.489531

zbMATH Keywords

comodule algebrasHopf algebrasFrobenius extensionsHopf-Galois objectsHopf bi-Galois extensions

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Principal homogeneous spaces for arbitrary Hopf algebras
• Representation theory of Hopf Galois extensions
• Normal basis and transitivity of crossed products for Hopf algebras
• Galois correspondences for Hopf bigalois extensions
• Galois-type correspondences for Hopf-Galois extensions
• On semisimple extensions and separable extensions over non commutative rings
• Projectivity and freeness over comodule algebras
• A Hopf algebra having a separable Galois extension is finite dimensional
• 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

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