Hopf module duality applied to X-outer Galois theory.

DOI10.1016/S0021-8693(03)00130-3zbMath1035.16034MaRDI QIDQ1398176

Akira Masuoka, Tadashi Yanai

Publication date: 29 July 2003

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

zbMATH Keywords

Frobenius algebraspointed Hopf algebrasGalois correspondencessymmetric quotient rings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20)

Related Items

A Hopf-Galois correspondence for free algebras. ⋮ Galois comodules. ⋮ Picard-Vessiot extensions of Artinian simple module algebras. ⋮ Right coideal subalgebras of the quantum Borel algebra of type \(G_2\)

Cites Work

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• Outer Galois theory of prime rings
• A Hopf algebraic approach to the Picard-Vessiot theory
• \(X\)-inner objects for Hopf crossed products
• On Hopf algebras with cocommutative coradicals
• Groups of simple algebras
• Freeness (projectivity) criteria for Hopf algebras over Hopf subalgebras
• A Galois-type correspondence theory for actions of finite-dimensional pointed Hopf algebras on prime algebras
• THE DIMENSION OF IRREDUCIBLE MODULES FOR TRANSITIVE MODULE ALGEBRAS
• Projective action of affine group schemes
• Freeness of hopf algebras over coideal subalgebras
• Coideal subalgebras in hopf algebras: freeness, integrals, smash products
• Actions of pointed hopf algebras on prime algebras
• Correspondence theory of kharchenko and x-outer actions of pointed hopf algebras
• Frobenius extensions of subalgebras of Hopf algebras
• More about a Galois-type correspondence theory