摘要
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.
出处
《南京大学学报（数学半年刊）》
CAS
2009年第1期51-55,共5页
Journal of Nanjing University(Mathematical Biquarterly)
基金
Supported by the Sicence and Research Foundation of Nanjing Universityof Information Science & Technology(No.S8108058001)
supported by the National Natural Science Foundation of China(No.10571026)
the Natural Science Foundation of Jiangsu Province(No.BK2005207)
theSpecialized Research Fund for the Doctoral Program of Higher Education(20060286006)
关键词
半局部环
群环
齐次半局部环
semilocal ring, group ring, homogeneous semilocal ring
