A Note on Semilocal Group Rings |
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| Authors: | Angelina Y. M. Chin |
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| Affiliation: | (1) Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia |
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| 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. |
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| Keywords: | semilocal group ring |
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