R是具有单位元的结合环.环R称为齐次半局部环是指R/J(R)是单Artinian环,其中J(R)是R的Jacobson的根。本文研究群环RG的齐次半局部性.
Let R be an associative ring with identity. R is said to be homogeneous semilocal if R/J(R) is simple Artinian, where J(R) denotes the Jacobson radical of R. In this paper, we study the homogeneous semilocal properties of the group ring RG.