Derivations of graded rings and Clifford systems
type: Item
instance of: scholarly article
title: Derivations of graded rings and Clifford systems
zbMATH Open document ID: 0585.16001
DOI: 10.1016/0021-8693(86)90008-6
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: Let G be a finitely generated abelian group and let R be a ring which is strongly graded by G. A Clifford system is an epimorphic image of such a graded ring. In the first part of this paper, the author gives general results on derivations of graded rings. In the second section, he relates the derivations of a Clifford system with Galois cohomology of the grading group G. This approach has applications in the theory of crossed products for Azumaya algebras.
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16H05
zbMATH DE Number: 3937346
zbMATH Keywords: strongly graded
zbMATH Keywords: Clifford system
zbMATH Keywords: derivations of graded rings
zbMATH Keywords: Galois cohomology
zbMATH Keywords: crossed products for Azumaya algebras
author: Fred Van Oystaeyen
reviewed by: M.-A. Knus
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90008-6
OpenAlex ID: W2011450908
cites work: Q5562621
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description: scientific article; zbMATH DE number 3937346