The Periodic Radical of Group Rings and Incidence Algebras
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Published:1998-12-01
Issue:4
Volume:41
Page:481-487
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Parmenter M. M.,Spiegel E.,Stewart P. N.
Abstract
AbstractLet R be a ring with 1 and P(R) the periodic radical of R. We obtain necessary and sufficient conditions for P(RG) = 0 when RG is the group ring of an FC group G and R is commutative. We also obtain a complete description of when I(X, R) is the incidence algebra of a locally finite partially ordered set X and R is commutative.
Publisher
Canadian Mathematical Society
Subject
General Mathematics
Cited by
1 articles.
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1. Algebraic radicals and incidence algebras;Journal of Discrete Mathematical Sciences and Cryptography;1999-08