| 含有极小单侧理想的群分次本原环的结构 |
| |
| 引用本文： | 张淑华,章力.含有极小单侧理想的群分次本原环的结构[J].中国海洋大学学报(自然科学版),1996(1). |
| |
| 作者姓名： | 张淑华 章力 |
| |
| 作者单位： | 青岛化工学院 |
| |
| 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。
|
| 关 键 词： | 抽象代数 分次右理想 分次本原环 分次稠密线性变换环 |
ON THE STRUCTURE OF THE GROUP DIVISION ORDER PRIMITIVE RING WITH EXTREMELY SMALL ONE-SIDED IDEAL |
| |
| Zhang Shuhua, Zhang Li.ON THE STRUCTURE OF THE GROUP DIVISION ORDER PRIMITIVE RING WITH EXTREMELY SMALL ONE-SIDED IDEAL[J].Periodical of Ocean University of China,1996(1). |
| |
| Authors: | Zhang Shuhua Zhang Li |
| |
| Institution: | Qingdao Institute of Chemical Technology |
| |
| Abstract: | 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. |
| |
| Keywords: | division order right ideal division order primitive ring division order dense linear transform ring |
| 本文献已被 CNKI 等数据库收录！ |
