Inner Gradings and Galois Extensions with Normal Basis

DOI10.2307/2047644zbMath0686.16028OpenAlexW4235860292MaRDI QIDQ4204305

Beattie, Margaret

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047644

zbMATH Keywords

group algebraGalois extensionfinite groupnormal basisdual Hopf algebrasmash productgradingcentral, separable k-algebraH-comodule algebra

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (1)

A Note on Inner Actions of Hopf Algebras

Cites Work

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• A Noether Skolem theorem for group-graded rings.
• Crossed products and Galois extensions of Hopf algebras
• A direct sum decomposition for the Brauer group of H-module algebras
• Galois theories and normal bases
• Hopf algebras and Galois theory
• Group-Graded Rings, Smash Products, and Group Actions
• Cohomology of Algebras Over Hopf Algebras
• The Brauer Group of Graded Azumaya Algebras

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