| von Neumann Regular Rings and Right SF-rings |
| |
| 作者姓名： | 周海燕 王小冬 |
| |
| 作者单位： | Department of Mathematics，Nanjing University，Nanjing，210093，Applied Mathematics and Physics Department，Anhui University of Technology and Science，Wuhu，241000 |
| |
| 摘 要： | A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. It is known that von Neumann regular rings are left and right SF-rings. In this paper, we study the regularity of right SF-rings and prove that if R is a right SF-ring whose all maximal (essential) right ideals are GW-ideals, then R is regular.
|
von Neumann Regular Rings and Right SF-rings |
| |
| ZHOU Hai-yan.von Neumann Regular Rings and Right SF-rings[J].Northeastern Mathematical Journal,2004(1). |
| |
| Authors: | ZHOU Hai-yan |
| |
| Abstract: | A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. It is known that von Neumann regular rings are left and right SF-rings. In this paper, we study the regularity of right SF-rings and prove that if R is a right SF-ring whose all maximal (essential) right ideals are GW-ideals, then R is regular. |
| |
| Keywords: | von Neumann regular ring right SF-ririg strongly regular ring GW-ideal |
| 本文献已被 CNKI 等数据库收录！ |
