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 $\,rad(K\Delta^p(G))^n=0$.
@article{107566,
author = {A. A. Bovdi and T. P. L\'angi},
title = {On the regularity of group algebras},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {117-121},
zbl = {0906.16012},
mrnumber = {1407343},
language = {en},
url = {http://dml.mathdoc.fr/item/107566}
}
Bovdi, A. A.; Lángi, T. P. On the regularity of group algebras. Archivum Mathematicum, Tome 032 (1996) pp. 117-121. http://gdmltest.u-ga.fr/item/107566/
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