Structure and cancellation theorems for graded Azumaya algebras

DOI10.1016/0022-4049(80)90004-3zbMath0442.16003OpenAlexW2017116681MaRDI QIDQ1143468

K. B. Patil

Publication date: 1980

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(80)90004-3

zbMATH Keywords

cancellationgraded Azumaya algebrasconnected semi-local rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) Graded rings and modules (associative rings and algebras) (16W50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (1)

Equivalent conditions for cancellation of graded azumaya algebras

Cites Work

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• Derivations in Azumaya algebras
• Separable algebras over commutative rings
• Lectures on topics in algebraic \(K\)-theory
• On the Brauer Group of Algebras Having a Grading and an Action
• Graded Brauer Groups.
• The Brauer-Wall Group of a Commutative Ring
• The Brauer Group of Graded Azumaya Algebras

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