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Quasi-duo环的刻画 被引量:8

Some characterizations of quasi-duo rings
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摘要 证明了如下结果:1)环R是左quas i-duo环当且仅当对任意x J(R),y∈R,Ry+R(yx-1)=R;2)环R是左quas i-duo环当且仅当R是左极小A be l环和左M ELT环. In this paper, it is shown that: 1) Ring R is left quasi-duo ring if and only if for all x∈J(R), y∈R, and Ry+R(yx-1)=R; 2) Ring R is left quasi-duo ring if and only if R is MELT ring and left min-Abelian ring.
作者 魏俊潮
出处 《扬州大学学报(自然科学版)》 CAS CSCD 2006年第3期1-4,共4页 Journal of Yangzhou University:Natural Science Edition
基金 国家自然科学基金资助项目(10241002)
关键词 quasi-duo环 JACOBSON根 左极小幂等元 直接有限环 quasi-duo rings Jacobson radicals left minimal idernpotent elements directly finite rings
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共引文献13

同被引文献37

  • 1郭莉琴,赵良.关于拟duo-环的正则性[J].甘肃联合大学学报(自然科学版),2004,18(3):13-15. 被引量:3
  • 2魏俊潮.直接有限环[J].扬州大学学报(自然科学版),2005,8(2):1-3. 被引量:8
  • 3Jun Chao WEI.The Rings Characterized by Minimal Left Ideals[J].Acta Mathematica Sinica,English Series,2005,21(3):473-482. 被引量:7
  • 4苏华东,唐高华.Z_n[i]的素谱和零因子[J].广西师范学院学报(自然科学版),2006,23(4):1-4. 被引量:9
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