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关于每一个极大左理想是弱右理想的环(英文)
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(英文)[J]. 大学数学, 2010, 26(1)
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:The Youth Fund of Jiangxi Education Provincial Department(GJJ10155)
摘    要:研究了每一个极大左理想是弱右理想的环的性质.得到了左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 Liang,XIONG Xiao-feng. On Rings Whose Every Maximal Left Ideal is a Weakly Right Ideal[J]. College Mathematics, 2010, 26(1)
Authors:ZHAO Liang  XIONG Xiao-feng
Affiliation:Faculty of Science;Jiangxi 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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