A note on semilocal group rings

@article{Chin2002,
abstract = {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.},
author = {Chin, Angelina Y. M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {semilocal; group ring; semilocal rings; group rings},
language = {eng},
number = {4},
pages = {749-755},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on semilocal group rings},
url = {http://eudml.org/doc/30741},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Chin, Angelina Y. M.
TI - A note on semilocal group rings
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 749
EP - 755
AB - 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.
LA - eng
KW - semilocal; group ring; semilocal rings; group rings
UR - http://eudml.org/doc/30741
ER -