齐次半局部群环(英文)  

ON HOMOGENEOUS SEMILOCAL GROUP RINGS

作　　者：昝立博[1] 陈建龙[2] 

机构地区：[1]南京信息工程大学数理学院,南京210044 [2]东南大学数学系,南京210096

出　　处：《南京大学学报（数学半年刊）》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)

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.

关 键 词：半局部环 群环 齐次半局部环 

分 类 号：O153.3[理学—数学]