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《Journal of Anhui Normal University(Natural Science)》 2013-01
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NMP-Injective Rings

CHEN Ping,SONG Xian-mei(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China)  
A ring R is called right NMP-injective if every monomorphism from a principal right ideal to R can extend to an endomorphism of R.Left NMP-injective rings are defined analogusly.In this paper,we first introduce and characterize right NMP-injective rings,which are proper generalization of right MP-injective rings.Next,some properties of right NMP-injective rings are discussed.We extend some known results of MP-injective rings and nil-injective rings.
【Fund】: 安徽省教育厅重点项目(KJ2010A126);; 安徽师范大学校专项基金(2008xzx10)
【CateGory Index】: O153.3
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 LI Xiao-long,WU Jun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On Strong Regularity of Quasi ZI-Rings[J];Journal of Anhui Normal University(Natural Science);2011-01
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 XIE Xiao-juan,SONG Xian-mei(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241003,China);Weak M-Quasi-Armendariz Rings[J];Journal of Anhui Normal University(Natural Science);2012-02
2 WU Guo-ying,WU Jun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);The Strong Regularity of Rings Whose Maximal Essential One-Sided Ideals are GW-Ideals[J];Journal of Anhui Normal University(Natural Science);2012-03
3 CHEN Wen-bing,YIN Xiao-bin(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,Anhui Province,China);Some Properties and Characterizations on Wnil-Injective Modules[J];Journal of Jilin University(Science Edition);2011-06
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 Zhang Jule (Dept.of Math.);ON NONSINGULAR RINGS[J];Journal of Anhui Normal University(Natural Science);1986-04
2 WU Jun, YIN Xiao-bin ( Dept. of Math., Nanjing University, Jiangsu 210093, China; Dept. of Math., Anhui Normal University, Wuhu, 241000, China);Von-Neumann Regularity of N-rings[J];Journal of Mathematical Research and Exposition;2001-02
3 ZHOU Hai-yan, WANG Xiao-dong(Dept. of Math. , Nanjing University, Jiangsu 210093, China;Dept. of Appl. Math. & Phys. , Anhui University of Science and Technology, Wuhu 241000, China);On von-Neumann Regular Rings and Left SF-Rings[J];Journal of Mathematical Research and Exposition;2004-04
4 YIN Xiao-bin , SHAN Fang-fang , SONG Xian-mei (College of Math. and Computer Science, Anhui Normal University, Wuhu 241000, China);VON NEUMANN REGULARITY OF GP-V’-RINGS[J];Journal of Mathematics;2009-06
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