A Hopf algebra having a separable Galois extension is finite dimensional

DOI10.1090/S0002-9939-08-09557-9zbMath1154.16025arXivmath/0612613OpenAlexW2062744195MaRDI QIDQ3533852

Juan Cuadra

Publication date: 24 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0612613

zbMATH Keywords

antipodesfinite dimensional Hopf algebrasHopf Galois extensionsseparable extensionsfinite dimensionality

Mathematics Subject Classification ID

Related Items (2)

On Frobenius and separable Galois cowreaths ⋮ Faithfully Flat Hopf Bi-Galois Extensions

Cites Work

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• Frobenius and separable functors for generalized module categories and nonlinear equations
• Principal homogeneous spaces for arbitrary Hopf algebras
• Separable functors applied to graded rings
• Semisimple extensions and elements of trace 1
• Integrals for Hopf algebras
• Hopf algebras and Galois theory
• Frobenius extensions of subalgebras of Hopf algebras
• A co-Frobenius Hopf algebra with a separable Galois extension is finite

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