Azumaya strongly graded rings and ray classes

DOI10.1016/0021-8693(86)90182-1zbMath0607.16002OpenAlexW1967503036MaRDI QIDQ1085246

Freddy M. J. van Oystaeyen

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)90182-1

zbMATH Keywords

Azumaya algebratwisted group ringsAzumaya identity-graded componentgroup-graded ringP.I. ringray classes

Mathematics Subject Classification ID

Group rings (16S34) Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Rings with polynomial identity (16Rxx)

Related Items (7)

Azumaya semigroup algebras ⋮ Cancellative semigroup rings which are Azumaya algebras ⋮ The Brauer splitting theorem and projective representations of finite groups over rings ⋮ Semigroup algebras which are Azumaya algebras ⋮ Unnamed Item ⋮ A Note on Generalized Clifford Algebras and Representations ⋮ Introducing crystalline graded algebras.

Cites Work

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• Some constructions of rings
• On Clifford systems and generalized crossed products
• The ramification divisor of regular tame orders,i
• Arithmetically graded rings revisited
• Twisted Group Algebras which are Artinian, Perfect or Self‐Injective
• Observations on group rings
• Groups Covered By Permutable Subsets

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