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The Periodic Radical of Group Rings and Incidence Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $R$ be a ring with 1 and $P(R)$ the periodic radical of $R$. We obtain necessary and sufficient conditions for $P(\text{RG})=0$ when $\text{FG}$ is the group ring of an $\text{FC}$ group $G$ and $R$ is commutative. We also obtain a complete description of $P\left( I(X,R) \right)$ when $I(X,R)$ is the incidence algebra of a locally finite partially ordered set $X$ and $R$ is commutative.
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- Copyright © Canadian Mathematical Society 1998
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