A skolem-noether theorem for hopf algebra actions

DOI10.1080/00927879008824104zbMath0760.16014OpenAlexW1983821999MaRDI QIDQ3970596

Beattie, Margaret, K.-H. Ulbrich

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879008824104

zbMATH Keywords

centralizerHopf algebraAzumaya algebrassmash productSkolem-Noether theorem\(H\)-Galois biextension\(k\)-Azumaya \(H\)-module algebrainner \(H\)-action

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Smash products of general Hopf actions (16S40)

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Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteris\-tic. ⋮ Unnamed Item ⋮ A Note on Inner Actions of Hopf Algebras ⋮ Computing the Brauer-Long group of a Hopf algebra. II: The Skolem-Noether theory ⋮ Unnamed Item ⋮ Skolem-noether theorems and coalgebra actions ⋮ A Skolem-Noether theorem for coalgebra measurings

Cites Work

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• A Noether Skolem theorem for group-graded rings.
• A direct sum decomposition for the Brauer group of H-module algebras
• Galois theories and normal bases
• Galoiserweiterungen von night-kommutativen ringen