| von Neumann正则环与右SF-环 |
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| 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 |
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| 作者姓名： | 周海燕 王小冬 |
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| 摘 要： |
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| 关 键 词： | vonNeumann正则环 右SF-环 GW-理想 结合环 |
von Neumann Regular Rings and Right SF-rings |
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| Affiliation: | [1]DepartmentofMathematics,NanjingUniversity,Nanjing,210093 [2]AppliedMathematicsandPhysicsDepartment,AnhuiUniversityofTechnolo9yandScience,Wuhu,241000 |
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| 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. |
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