| 关于弱本原环 |
| |
| 引用本文： | 辛林. 关于弱本原环[J]. 福建师范大学学报(自然科学版), 1988, 0(3) |
| |
| 作者姓名： | 辛林 |
| |
| 作者单位： | 福建师范大学数学系 |
| |
| 摘 要： | 本文讨论弱本原环的稠密性问题,主要结果是: 环R是弱本原的当且仅当存在(D,V,M)使得 (1)如果x,y≠0∈V,则存在r,s∈R使xr=ys≠0。 (2)如果x_1,x_2∈M是D上线性无关元,则存在非零元r,s∈R使x_1r=x_2s,x_2r=x_1s且S|Dx_i是自同构,i=1,2。
|
| 关 键 词： | 弱本原环 几乎极大右理想 临界可缩模 |
On the Weakly Primitive Rings |
| |
| Xin Lin. On the Weakly Primitive Rings[J]. Journal of Fujian Teachers University(Natural Science), 1988, 0(3) |
| |
| Authors: | Xin Lin |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | In this paper, we discuss the denSitY question of a weakly primitive ring. The main result:A ring R is weakly primitive iff there is (D,V,M) such that(1) if nonzero x, y in V then there exists r,s in R with nonzero xr=ys.(2) if x, y in M are linearly independent over D, then there exists nonzero r, s in R with xr=ys, xs=yr and s|Dx, s|Dy automorphism. |
| |
| Keywords: | weakly primitive ring almost maximal right ideal critical compressible modules |
| 本文献已被 CNKI 等数据库收录！ |
|
