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On Semilocal Group Rings
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作者 昝立博 陈建龙 《Northeastern Mathematical Journal》 CSCD 2007年第2期151-156,共6页
Let R be an associative ring with identity. R is said to be semilocal if R/J(R) is (semisimple) Artinian, where J(R) denotes the Jacobson radical of R. In this paper, we give necessary and sufficient conditions ... Let R be an associative ring with identity. R is said to be semilocal if R/J(R) is (semisimple) Artinian, where J(R) denotes the Jacobson radical of R. In this paper, we give necessary and sufficient conditions for the group ring RG to be semilocal, where G is a locally finite nilpotent group. 展开更多
关键词 semilocal ring group ring locally finite group nilpotent group
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