Primary group rings
Chin, Angelina1 ; Qua, Kiat Tat2
1 University of Malaya, KUALA LUMPUR, MALAYSIA
2 Tunku Abdul Rahman University, KAJANG, SELANGOR, MALAYSIA
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 223-228.

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.

DOI : 10.4171/RSMUP/137-12
Classification : 16S34, 16U99
Mots clés : Primary, group ring
Chin, Angelina 1 ; Qua, Kiat Tat 2

1 University of Malaya, KUALA LUMPUR, MALAYSIA
2 Tunku Abdul Rahman University, KAJANG, SELANGOR, MALAYSIA 
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     author = {Chin, Angelina and Qua, Kiat Tat},
     title = {Primary group rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {223--228},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-12},
     mrnumber = {3652877},
     zbl = {1382.16017},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/137-12/}
}
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Chin, Angelina; Qua, Kiat Tat. Primary group rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 223-228. doi : 10.4171/RSMUP/137-12. http://www.numdam.org/articles/10.4171/RSMUP/137-12/

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