Hopf-Galois extensions and smash products

DOI10.1016/0021-8693(87)90080-9zbMath0611.16006OpenAlexW2041145893MaRDI QIDQ1087616

Kenji Yokogawa

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90080-9

zbMATH Keywords

Harrison cohomologydual Hopf algebrasmash productbialgebra2-cocyclesGalois algebracommutative and cocommutative Hopf algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40)

Cites Work

• A pair of subalgebras in an Azumaya algebra
• Ext//ad(SpR,\(mu^ A)\)=Br(A/k)
• The cohomological aspects of Hopf Galois extensions over a commutative ring
• On \(S\otimes{_rS}\)-module structure of \(S/R\)-Azumaya algebras
• Galois algebras and Harrison cohomology
• On Galois algebra over a commutative ring
• Hopf algebras and Galois theory
• The Brauer Group of a Commutative Ring
• Cohomology of Algebras Over Hopf Algebras
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