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《Journal of Yangzhou University(Natural Science Edition)》 2009-01
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Weakly corner rings

LI De-cai1,2,FAN Zhi-yong1,3,WEI Jun-chao1*(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Yangzhou Vocat Coll of Environ & Resoures,Yangzhou 225127,China;3.Dept of Math,Jiaozuo Teachers Coll,Jiaozuo 454001,China)  
Let R be a ring with e2=e∈R,if for any left R-submodule N of Re,ReN=N,then eRe is called the weakly corner ring of R.This paper the following results are shown: ① If R is a left MC2 ring,then so is the weakly corner ring eRe;② If R is a left min-able ring,then so is the weakly corner ring eRe;③ If R is a left mininjective ring,then so is the weakly corner ring eRe;④ If R is a left universally mininjective ring,then so is the weakly corner ring eRe.
【Fund】: 国家自然科学基金资助项目(10771182 10771183)
【CateGory Index】: O153.3
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【References】
Chinese Journal Full-text Database 3 Hits
1 FAN Zhi-yong1,2,WEI Jun-chao1,LI Li-bin1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Dept of Math,Jiaozuo Teachers' Coll,Jiaozuo 454001,China);Quasi-Abel rings[J];Journal of Yangzhou University(Natural Science Edition);2009-03
2 CHENG Qing-song1,3,WANG Lan-ying1,2,WEI Jun-chao1*(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.NUPT Wujiang Voc Tech Coll,Wujiang 215200,China;3.Dept of Math & Phys,Huaihai Inst of Tech,Lianyungang 222005,China);Strongly left min-abel rings[J];Journal of Yangzhou University(Natural Science Edition);2010-01
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1 WEI Jun-chao(Coll of Math,Yangzhou Univ,Yangzhou 225002,China);Some characterizations of quasi-duo rings[J];Journal of Yangzhou University(Natural Science Edition);2006-03
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【Co-citations】
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1 XU Nian-fang (Huaian Radio and TV University,Department of Information Engineering,HuaiAn 223001,China);On the Regularity of Generalized Quasi-duo Rings[J];Journal of Hunan Environment-Biological Polytechnic;2009-04
2 WEI Jun-chao(Coll of Math,Yangzhou Univ,Yangzhou 225002,China);Some characterizations of quasi-duo rings[J];Journal of Yangzhou University(Natural Science Edition);2006-03
3 ZHANG Jian1,2,WEI Jun-chao1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Yangzhou Comm Higher Vocat Sch,Yangzhou 225127,China);Left min-Abel rings[J];Journal of Yangzhou University(Natural Science Edition);2008-04
4 WANG Lan-ying1,2,WEI Jun-chao1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.NUPT Wujiang Voc Tech Coll,Wujiang 215200,China);A trivial extension of quasi-normal rings[J];Journal of Yangzhou University(Natural Science Edition);2009-02
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6 CHENG Qing-song1,3,WANG Lan-ying1,2,WEI Jun-chao1*(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.NUPT Wujiang Voc Tech Coll,Wujiang 215200,China;3.Dept of Math & Phys,Huaihai Inst of Tech,Lianyungang 222005,China);Strongly left min-abel rings[J];Journal of Yangzhou University(Natural Science Edition);2010-01
7 CHENG Qing-song1,2,WEI Jun-chao1*,LI Li-bin1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Dept of Math & Phys,Huaihai Inst of Tech,Lianyungang 222005,China);WGC2 rings[J];Journal of Yangzhou University(Natural Science Edition);2010-02
8 QU Yin-chun1,2,YANG Yi-chao1,LI Li-bin1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Wuxi Inst of Vocat & Tech,Wuxi 214073,China);The remainder classes ring with unit group being the direct sum of prime order cycle groups[J];Journal of Yangzhou University(Natural Science Edition);2010-03
9 LI De-cai1,2,WANG Long1,WEI Jun-chao1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Yangzhou Vocat Coll of Environ & Resour,Yangzhou 225127,China);Weakly-normal rings[J];Journal of Yangzhou University(Natural Science Edition);2011-02
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4 QU Yan-chun1,2,FAN Zhi-yong1,3,WEI Jun-chao1 (1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Wuxi Inst of Tech,Wuxi 214073,China; 3.Dept of Math,Jiaozuo Teachers Coll,Jiaozuo 454001,China);Strongly reflexive rings[J];Journal of Yangzhou University(Natural Science Edition);2011-03
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