含有极小单侧理想的群分次本原环的结构  

ON THE STRUCTURE OF THE GROUP DIVISION ORDER PRIMITIVE RING WITH EXTREMELY SMALL ONE-SIDED IDEAL

作　　者：张淑华[1] 章力[1] 

机构地区：[1]青岛化工学院

出　　处：《青岛海洋大学学报（自然科学版）》1996年第1期113-116,共4页Journal of Ocean University of Qingdao

摘　　要：给出了介于群分次Artin环与群分次本原环之间的一种群分次环，即含有极小右理想的群分农本原环的结构。证明了A为含有极小右理想的群分次本原环的充要条件是A为含有有限秩线性变换的群分次稠密线性变换环。The paper gives the structure of a kind of division order ring which is between the division order Artin ring and the division order primitive ring, i. e., the structure of the group division order primitive ring with extremely small right ideal. It is proved that A is a group division order primitive ring with extremely small division order right ideal if and only if A is a group division order dense linear transform ring with finite rank linear transform.

关 键 词：抽象代数 分次右理想 群分次本原环 环论 

分 类 号：O153.3[理学—数学]