A variation of sweedler's complex and the group of galois objects of an infinite hopf algebra

DOI10.1080/00927879608825726zbMath0858.16034OpenAlexW1970678408MaRDI QIDQ4890696

Stefaan Caenepeel

Publication date: 17 March 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825726

zbMATH Keywords

finitely generated projective modulesexact sequencesdual Hopf algebrascocommutative Hopf algebrasHarrison cohomology groups\(H\)-Galois algebrasdual pairs of invertible comodulesinvertible comodules with geometric normal basesSweedler cohomology groups

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Automorphisms and endomorphisms (16W20) Brauer groups of schemes (14F22) Smash products of general Hopf actions (16S40)

Related Items (1)

Twistings and Hopf Galois extensions

Cites Work

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• Galois theories and normal bases
• Brauer groups and Amitsur cohomology for general commutative ring extensions
• Galois algebras and Harrison cohomology
• Computing the Brauer-Long group of a Hopf algebra. I: The cohomological theory
• The picard groups of coalgebras

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