南京大学学报(数学半年刊)
南京大學學報(數學半年刊)
남경대학학보(수학반년간)
JOURNAL OF NANJING UNIVERSITY MATHEMATICAL BIQUARTERLY
2009年
1期
51-55
,共5页
半局部环%群环%齐次半局部环
半跼部環%群環%齊次半跼部環
반국부배%군배%제차반국부배
semilocal ring%group ring%homogeneous semilocal ring
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.
R是具有單位元的結閤環.環R稱為齊次半跼部環是指R/J(R)是單Artinian環, 其中J(R)是R的Jacobson根.本文研究群環RG的齊次半跼部性.
R시구유단위원적결합배.배R칭위제차반국부배시지R/J(R)시단Artinian배, 기중J(R)시R적Jacobson근.본문연구군배RG적제차반국부성.
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.
