Computing the Brauer group of graded Azumaya algebras from its subgroups

DOI10.1016/0021-8693(86)90198-5zbMath0589.16002OpenAlexW2053689153MaRDI QIDQ1073877

Beattie, Margaret

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90198-5

zbMATH Keywords

central algebrasgeneralized Brauer group of algebrasgraded Azumaya algebrasgroup of grade-preserving automorphisms

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (4)

Unnamed Item ⋮ Computing the Brauer-Long group of a Hopf algebra. II: The Skolem-Noether theory ⋮ Computing the Brauer-Long group of a Hopf algebra. I: The cohomological theory ⋮ A Cohomological Approach to the Brauer-Long Group and the Groups of Galois Extensions and Strongly Graded Rings

Cites Work

• Unnamed Item
• The Brauer group of central separable G-Azumaya algebras
• A direct sum decomposition for the Brauer group of H-module algebras
• The Brauer group of dimodule algebras
• Automorphisms of G-Azumaya Algebras
• A Subgroup of the Generalised Brauer Group of Γ-Azumaya Algebras
• A Generalization of the Brauer Group of Graded Algebras
• The Brauer Group of Graded Azumaya Algebras. II: Graded Galois Extensions
• Generalized Clifford Algebras and Dimodule Algebras
• On the Brauer Group of Algebras Having a Grading and an Action
• Linearizing of n-ic forms and generalized Clifford algebras
• A generalization of Clifford algebras
• Graded Brauer Groups.
• ON A GENERALIZED CLIFFORD ALGEBRA (II)
• ON A GENERALIZED CLIFFORD ALGEBRA
• The Brauer-Wall Group of a Commutative Ring
• The Brauer Group of Graded Azumaya Algebras

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