| von Neumann正则环与右SF-环 |
| |
| 引用本文： | 周海燕,王小冬.von Neumann正则环与右SF-环[J].东北数学,2004,20(1):75-78. |
| |
| 作者姓名： | 周海燕 王小冬 |
| |
| 摘 要： |
|
| 关 键 词： | vonNeumann正则环 右SF-环 GW-理想 结合环 |
von Neumann Regular Rings and Right SF-rings |
| |
| Institution: | [1]DepartmentofMathematics,NanjingUniversity,Nanjing,210093 [2]AppliedMathematicsandPhysicsDepartment,AnhuiUniversityofTechnolo9yandScience,Wuhu,241000 |
| |
| 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: | |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
