Rendiconti del Seminario Matematico della Università di Padova

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Volume 137, 2017, pp. 223–228
DOI: 10.4171/RSMUP/137-12

Published online: 2017-05-12

Primary group rings

Angelina Y.M. Chin[1] and Kiat Tat Qua[2]

(1) University of Malaya, Kuala Lumpur, Malaysia
(2) Tunku Abdul Rahman University, Kajang, Malaysia

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.

Keywords: Primary, group ring

Chin Angelina, Qua Kiat Tat: Primary group rings. Rend. Sem. Mat. Univ. Padova 137 (2017), 223-228. doi: 10.4171/RSMUP/137-12