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The periodic radical of group rings and incidence algebras

  Published:1998-12-01
 Printed: Dec 1998
  • M. M. Parmenter
  • E. Spiegel
  • P. N. Stewart
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Abstract

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.
MSC Classifications: 16S34, 16S99, 16N99 show english descriptions Group rings [See also 20C05, 20C07], Laurent polynomial rings
None of the above, but in this section
None of the above, but in this section
16S34 - Group rings [See also 20C05, 20C07], Laurent polynomial rings
16S99 - None of the above, but in this section
16N99 - None of the above, but in this section
 

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