Geodesic
A note on semilocal group rings
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 4, pp. 749-755 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $R$ be an associative ring with identity and let $J(R)$ denote the Jacobson radical of $R$. $R$ is said to be semilocal if $R/J(R)$ is Artinian. In this paper we give necessary and sufficient conditions for the group ring $RG$, where $G$ is an abelian group, to be semilocal.
Let $R$ be an associative ring with identity and let $J(R)$ denote the Jacobson radical of $R$. $R$ is said to be semilocal if $R/J(R)$ is Artinian. In this paper we give necessary and sufficient conditions for the group ring $RG$, where $G$ is an abelian group, to be semilocal.
Classification : 16L30, 16S34, 20C07
Keywords: semilocal; group ring 
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Chin, Angelina Y. M. A note on semilocal group rings. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 4, pp. 749-755. http://geodesic.mathdoc.fr/item/CMJ_2002_52_4_a7/

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