| 关于MLW-环与MELW-环的正则性 |
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| 引用本文： | 赵良,吴阔华.关于MLW-环与MELW-环的正则性[J].河北师范大学学报(自然科学版),2007,31(1):3-4,49. |
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| 作者姓名： | 赵良 吴阔华 |
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| 作者单位： | 江西理工大学,理学院,江西,赣州,341000 |
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| 基金项目： | 江西省科学技术研究计划项目
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江西理工大学自选课题 |
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| 摘 要： | 引入了MLW-环与MELW-环的概念,并得到了下面2个主要结果:1)若R是MLW-左SPF-环,则R/J(R)是强正则环;2)若R是Abelian的MELW-环,并且每一个单奇异左R-模是GP-内射模,则R是reduced弱正则环.
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| 关 键 词： | 正则环 MLW-环 MELW-环 |
| 文章编号： | 1000-5854（2007）01-0003-02 |
| 修稿时间： | 2005-12-232006-02-19 |
On the Regularity of MLW-rings and MELW-rings |
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| ZHAO Liang,WU Kuo-hua.On the Regularity of MLW-rings and MELW-rings[J].Journal of Hebei Normal University,2007,31(1):3-4,49. |
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| Authors: | ZHAO Liang WU Kuo-hua |
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| Institution: | School of Seienee,Jiangxi University of Science and Technology,Jiangxi Ganzhou 341000,China |
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| Abstract: | The concepts of MLW-rings and MELW-rings are introduced and the following two results are mainly obtained:1) If R is a MLW-left SPF-ring,then R/J(R) is a strongly regular ring;2) If R is an Abelian MELW-ring whose every simple singular left R-module is GP-injective,then R is a reduced weakly regular ring. |
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| Keywords: | regular ring MLW-rings MELW-rings |
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