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关于每一个极大左理想是弱右理想的环
引用本文:赵良,熊小峰.关于每一个极大左理想是弱右理想的环[J].工科数学,2010(1):33-36.
作者姓名:赵良  熊小峰
作者单位:江西理工大学理学院,赣州341000
基金项目:Foundation item.. The Youth Fund of Jiangxi Education Provincial Department (GJJ10155) Acknowledgement The authors would like to express their sincere gratitude to the referee for helpful comments of this paper.
摘    要:研究了每一个极大左理想是弱右理想的环的性质.得到了SF-环和强正则环的一些新的刻画,推广了一些已知的结论.

关 键 词:弱理想  正则环  SF-环

On Rings Whose Every Maximal Left Ideal is a Weakly Right Ideal
ZHAO Liangl,XIONG Xiao-feng.On Rings Whose Every Maximal Left Ideal is a Weakly Right Ideal[J].Journal of Mathematics For Technology,2010(1):33-36.
Authors:ZHAO Liangl  XIONG Xiao-feng
Affiliation:2 (Faculty of Science, J iangxi University of Science and Technology, Ganzhou 341000, China)
Abstract:Properties of the rings whose every maximal left ideal is a weakly right ideal are investigated. Some new characterizations on left SF-rings and strongly regular rings are obtained, which extend several known results.
Keywords:weakly ideals  regular rings  SF-rings
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