| SF环的正则性 |
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| 引用本文： | 潘勇.SF环的正则性[J].宝鸡文理学院学报(自然科学版),2001,21(4):259-261. |
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| 作者姓名： | 潘勇 |
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| 作者单位： | 南京大学数学系,扬州教育学院数学系, |
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| 摘 要： | 讨论了SF环的正则性，证明了如果R是SF环且是ZI环，则R是正则的，同时证明了SF环R如果满足下列三条件之一，则R是强正则环：（1）R是ZI环并且每个单奇异右（或左）R-模是GP-内射的；（2）R是SRB环并且每个单奇异右R-模是GP-内射的；（3）R是2-primal环并且每个单右R-模是GP-内射的。
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| 关 键 词： | SF环 单奇异模 GP－内射模 强正则环 ZI环 正则性 Z－primal环 |
| 文章编号： | 1007-1261(2001)04-0259-03 |
| 修稿时间： | 2001年3月29日 |
On regularity of SF-rings |
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| PAN Yong.On regularity of SF-rings[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2001,21(4):259-261. |
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| Authors: | PAN Yong |
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| Institution: | PAN Yong 1,2 |
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| Abstract: | We investigate von Neumann regularity of SF-rings.It is shown that SF-ring R is regular if R is ZI ring.And it is also shown that SF-rings are strongly reqular for each of the following classes of rings:(1)strongly bounded rings whose simple singular right R-modules are GP-injective;(2)zero insertive rings whose simple singular right (or left)R-modules are GP-injective;(3)2-primal ring whose every simple right R-module is GP-injective. |
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| Keywords: | SF-ring simple singular module GP-injective module reqular ring |
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