The Periodic Radical of Group Rings and Incidence Algebras
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 481-487

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1998-063-4
Mots-clés : 16S34, 16S99, 16N99
Parmenter, M. M.; Spiegel, E.; Stewart, P. N. The Periodic Radical of Group Rings and Incidence Algebras. Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 481-487. doi: 10.4153/CMB-1998-063-4
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