Primary group rings

  • Angelina Y.M. Chin

    University of Malaya, Kuala Lumpur, Malaysia
  • Kiat Tat Qua

    Tunku Abdul Rahman University, Kajang, Malaysia


Let RR be an associative ring with identity and let J(R)J(R) denote the Jacobson radical of RR. We say that RR is primary if R/J(R)R/J(R) is simple Artinian and J(R)J(R) is nilpotent. In this paper we obtain necessary and sufficient conditions for the group ring RGRG, where GG is a nontrivial abelian group, to be primary.

Cite this article

Angelina Y.M. Chin, Kiat Tat Qua, Primary group rings. Rend. Sem. Mat. Univ. Padova 137 (2017), pp. 223–228

DOI 10.4171/RSMUP/137-12