Separativity of modules with finite exchange property 被引量：3

Separativity of modules with finite exchange property

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摘要 We introduce the notion of separativity of modules and show that many classes of modules possess the separativity. The present work generalizes many known results. We introduce the notion of separativity of modules and show that many classes of modules possess the separativity. The present work generalizes many known results.

作者陈焕银李福安

机构地区 Department of Mathematics Institute of Mathematics

出处《Science China Mathematics》 SCIE 2000年第8期795-802,共8页 中国科学：数学（英文版）

关键词 separative MODULES EXCHANGE PROPERTY RELATED comparability. separative modules exchange property related comparability

分类号 O153.3 [理学—数学]

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参考文献10

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同被引文献12

1CHENHUANYIN.SELF-CANCELLATION OF MODULES HAVING THE FINITE EXCHANGE PROPERTY[J].Chinese Annals of Mathematics,Series B,2005,26(1):111-118. 被引量：2
2P. Ara,K. R. Goodearl,K. C. O’Meara,E. Pardo.Separative cancellation for projective modules over exchange rings[J].Israel Journal of Mathematics.1998(1) 被引量：1
3CHEN J.On von Neumann regular rings and SF-rings[].Mathematica Japonica.1991 被引量：1
4Chen Huanyin.Comparability of modules over regular rings[].Communications in Algebra.1997 被引量：1
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6Baccella G.Semiartinian V-rings and semiartinian von Neumann regular rings[].Journal of Algebra.1995 被引量：1
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9Yu H P.Stable range one for exchange rings[].Journal of Pure and Applied Algebra.1995 被引量：1
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引证文献3

1陈焕艮.关于置换环上强可分性的注记[J].数学物理学报（A辑）,2009,29(2):378-382. 被引量：1
2CHEN Huan Yin Department of Mathematics,Hunan Normal University.Changsha 410006.P.R.China E-mail:chyzxl@sparc2.hunnu.edu.cnLI Fu An Institute of Mathematics.Academy of Mathematics and System Sciences Chinese Academy of Sciences,Beijing 100080,P.R,China E-mail:fal@math08,math.ac.cn.On Ideals of Regular Rings[J].Acta Mathematica Sinica,English Series,2002,18(2):347-356.
3陈焕艮.有限置换模自同态环的可分性质[J].数学年刊（A辑）,2003,24(4):521-528. 被引量：1

二级引证文献2

1陈焕艮,刘大勇.正则环的内射理想[J].数学物理学报（A辑）,2009,29(1):20-24.
2欧阳伦群.Ore扩张环的弱相伴素理想[J].数学物理学报（A辑）,2011,31(5):1209-1219.

1CHEN Huan Yin,QIN Hou Rong Department of Mathematics. Hunan Normal University. Changsha 410006. P. R. China Department of Mathematics. Nanjing University. Nanjing 210093. P. R. China.The Comparable Structure of Exchange Rings[J].Acta Mathematica Sinica,English Series,2002,18(1):89-94. 被引量：1
2Huan Yin CHEN Department of Mathematics,Hunan Normal University,Changsha 410006 P.R.China E-mail:chyzxl@sparc2.hunnu.edu.cnFu An LI Institute of Mathematics,Academy of Mathematics and System Sciences Chinese Academy of Sciences,Beijing 100080,P.R.China E-mail:fal@math08.math.ac.cn.Comparability and s-Comparability of Modules over Exchange Rings[J].Acta Mathematica Sinica,English Series,2001,17(3):481-488. 被引量：2
3Yuhui Zhang Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China.Sufficient and Necessary Conditions for Stochastic Comparability of Jump Processes[J].Acta Mathematica Sinica,English Series,2000,16(1):99-102. 被引量：6
4CHEN Huan Yin Department of Mathematics,Hunan Normal University.Changsha 410006.P.R.China E-mail:chyzxl@sparc2.hunnu.edu.cnLI Fu An Institute of Mathematics.Academy of Mathematics and System Sciences Chinese Academy of Sciences,Beijing 100080,P.R,China E-mail:fal@math08,math.ac.cn.On Ideals of Regular Rings[J].Acta Mathematica Sinica,English Series,2002,18(2):347-356.
5Huan Yin CHEN,Miao Sen CHEN.Ideal-comparability over Regular Rings[J].Acta Mathematica Sinica,English Series,2006,22(2):417-424.
6CHENHUANYIN.SELF-CANCELLATION OF MODULES HAVING THE FINITE EXCHANGE PROPERTY[J].Chinese Annals of Mathematics,Series B,2005,26(1):111-118. 被引量：2
7Dong Daoyi,Chen Zonghai,Jiang Shengxiang.Pattern recognition of quantum information based on patterndistance[J].Journal of Systems Engineering and Electronics,2005,16(4):917-923.
8徐尹格,颜玉玲.RESEARCH ON HAAR SPECTRUM IN FAULT DIAGNOSIS OF ROTATING MACHINERY[J].Applied Mathematics and Mechanics(English Edition),1991,12(1):61-66.
9XiangYu,HuangYuying,MaXiaoqiang.WAVE SUPERPOSITION METHOD BASED ON VIRTUAL SOURCE BOUNDARY WITH COMPLEX RADIUS VECTOR FOR SOLVING ACOUSTIC RADIATION PROBLEMS[J].Acta Mechanica Solida Sinica,2004,17(1):12-19. 被引量：2
10BaiYuOUYANG,WenTingTONG.Morita Context and Morita—Like Equivalence for the xst—Rings[J].Acta Mathematica Sinica,English Series,2003,19(2):371-380. 被引量：1

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Separativity of modules with finite exchange property 被引量：3

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