The periodic radical of group rings and incidence algebras

http://dx.doi.org/10.4153/CMB-1998-063-4
Canad. Math. Bull. 41(1998), 481-487

  Published:1998-12-01
 Printed: Dec 1998

Let $R$ 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 $P\bigl(I (X, R)\bigr)$ when $I(X,R)$ is the incidence algebra of a locally finite partially ordered set $X$ and $R$ is commutative.