东北数学(英文版)
東北數學(英文版)
동북수학(영문판)
NORTHEASTERN MATHEMATICAL JOURNAL
2007年
2期
151-156
,共6页
semilocal ring%group ring%locally finite group%nilpotent group
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.