\(H\)-module endomorphism rings

DOI10.1016/0022-4049(94)00076-UzbMath0838.16034OpenAlexW1998022243MaRDI QIDQ1901008

Yinhuo Zhang, Freddy M. J. van Oystaeyen

Publication date: 4 December 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00076-u

zbMATH Keywords

unimodularitygraded rings\(H\)-module algebrasfinite-dimensional Hopf algebrasstable Clifford theoryHopf extensions\(H\)-Galois extensionsexistence of trace 1 elements

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (7)

Quantum Yang-Baxter module algebras ⋮ Induction functors and stable Clifford theory for Hopf modules ⋮ Classification of indecomposable modules for finite group schemes of domestic representation type ⋮ Some remarks on a theorem of H.-J. Schneider ⋮ DERIVED H-MODULE ENDOMORPHISM RINGS ⋮ Morphisms of relative Hopf modules, smash products, and duality ⋮ Extensions of the endomorphism algebra of weak comodule algebras.

Cites Work

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• Hopf extensions of algebras and Maschke type theorems
• Hopf Galois extensions, smash products, and Morita equivalence
• Group-graded rings and modules
• The equivalence of various generalizations of group rings and modules
• Representation theory of Hopf Galois extensions
• Inductions and coinductions for Hopf extensions
• Cleft cqmodule algebras and hopf modules
• Hopf frobenius extensions of algebras
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite

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