Geodesic
On the regularity of group algebras
Archivum mathematicum, Tome 32 (1996) no. 2, pp. 117-121 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We describe $n$-regular and $n$-weakly regular group algebras. $KG$ is $n$-regular if and only if one of the following conditions holds: \item{(1)} $char K=0$ and $G$ is locally finite; or \item{(2)} $char K=p$, $\,G$ is locally finite, $\,\Delta^p(G)$ is finite and contains all the elements of $G$ of $p$-power order and $\,rad(K\Delta^p(G))^n=0$.
We describe $n$-regular and $n$-weakly regular group algebras. $KG$ is $n$-regular if and only if one of the following conditions holds: \item{(1)} $char K=0$ and $G$ is locally finite; or \item{(2)} $char K=p$, $\,G$ is locally finite, $\,\Delta^p(G)$ is finite and contains all the elements of $G$ of $p$-power order and $\,rad(K\Delta^p(G))^n=0$.
Classification : 16E50, 16S34, 20C07
Keywords: group algebra; n-weakly regular ring; n-regular ring 
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     volume = {32},
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     zbl = {0906.16012},
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     url = {http://geodesic.mathdoc.fr/item/ARM_1996_32_2_a3/}
}
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Bovdi, A. A.; Lángi, T. P. On the regularity of group algebras. Archivum mathematicum, Tome 32 (1996) no. 2, pp. 117-121. http://geodesic.mathdoc.fr/item/ARM_1996_32_2_a3/

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