- journal article metadata
European Mathematical Society Publishing House
2017-05-15 23:45:01
Rendiconti del Seminario Matematico della Università di Padova
Rend. Sem. Mat. Univ. Padova
RSMUP
0041-8994
2240-2926
General
10.4171/RSMUP
http://www.ems-ph.org/doi/10.4171/RSMUP
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2013)
137
2017
0
Primary group rings
Angelina
Chin
University of Malaya, KUALA LUMPUR, MALAYSIA
Kiat Tat
Qua
Tunku Abdul Rahman University, KAJANG, SELANGOR, MALAYSIA
Primary, group ring
Let $R$ be an associative ring with identity and let $J(R)$ denote the Jacobson radical of $R$. We say that $R$ is primary if $R/J(R)$ is simple Artinian and $J(R)$ is nilpotent. In this paper we obtain necessary and sufficient conditions for the group ring $RG$, where $G$ is a nontrivial abelian group, to be primary.
Associative rings and algebras
223
228
10.4171/RSMUP/137-12
http://www.ems-ph.org/doi/10.4171/RSMUP/137-12