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Keywords:
group algebra; n-weakly regular ring; n-regular ring
group algebra; n-weakly regular ring; n-regular ring
Summary:
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 $\,rad(K\Delta^p(G))^n=0$.
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