Galois-type correspondences for Hopf-Galois extensions

DOI10.1007/BF00960864zbMath0814.16034OpenAlexW2082031388MaRDI QIDQ1337455

Freddy M. J. van Oystaeyen, Yinhuo Zhang

Publication date: 4 December 1994

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00960864

zbMATH Keywords

Galois extensionHopf algebracoinvariantsHopf-Galois extensionGalois correspondencecotensor productHopf subalgebrasintermediate subalgebras

Mathematics Subject Classification ID

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

Related Items

Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteris\-tic., On a transformation of the hopf algebra in a hopf galois extension, Actions of monoidal categories and generalized Hopf smash products., Towards a quantum Galois theory for quantum double algebras of finite groups, Hopf bigalois extensions, Galois correspondences for Hopf bigalois extensions, Faithfully Flat Hopf Bi-Galois Extensions, On the isomorphic classes of Hopf-Galois extensions with normal bases over a commutative ring

Cites Work

• Principal homogeneous spaces for arbitrary Hopf algebras
• Hopf Galois extensions, smash products, and Morita equivalence
• A Hopf algebraic approach to the Picard-Vessiot theory
• On \(k_s/k\)-Galois theory for fields
• A characterization of the Galois subbialgebras \(H_k(K\mid F)\)
• Hopf Galois theory for separable field extensions
• The Hopf algebra of an algebra applied to field theory
• Hopf algebras and Galois theory
• On the hopf galois theory for separable field extensions
• Hopf frobenius extensions of algebras
• The Predual Theorem to the Jacobson-Bourbaki Theorem