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《Journal of Anhui Normal University(Natural Science)》 2009-04
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Unit Regular Rings and SF-rings

GE Ping-hong,CHU Mao-quan(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)  
A ring R is defined to be a left SF-ring if all simple left R-modules are flat.It is well known that unit regular rings are SF-rings.But the question whether a left SF-ring is necessarily unit regular remains unanswered.In this paper,we mainly study some conditions that left SF-rings turn into unit regular rings and the equivalence that left SF-rings and unit regular rings are encircled under certain conditions.
【Fund】: Supported by Natural Science Foundation of Education Department of Anhui Province(KJ2008A026);; Natural Science Foundation of Colleges and Universities of Anhui Province(KJ2009B107Z).
【CateGory Index】: O153.3
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 CHENG Hai-xia,CHU Mao-quan(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Strong Regularity of Morphic Rings[J];Journal of Anhui Normal University(Natural Science);2008-03
2 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
3 Zhang Jule(Anhul Normal University);SOME REMARKS ON SF-RINGS[J];JOURNAL OF MATHEMATICS;1994-02
【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 LI Yan-wu1,2,CHU Mao-quan2 (1.Wuhu Vocational College of Information Technology,Wuhu 241000;2.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Morphic Rings and N-Rings and Zero Commutative Rings[J];Journal of Anqing Teachers College(Natural Science Edition);2008-01
2 LI Shan-shan,WANG Ming-yi (College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China);ON P-FLAT MODULES[J];Journal of Guangxi Normal University(Natural Science);2004-04
3 SONG Ting-wu1,2(1.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China;2.Wuhu Vocational College of Information Technology,Wuhu 241000,China);On the Morphic Rings[J];Journal of Anhui Normal University(Natural Science);2009-04
4 ZHU Zhan-min (Hubei Institute for Nationalities,Enshi 445000,China);Some results on flat dimension of modules and SF-rings[J];Journal of Hubei Institute For Nationalities;2001-01
5 Li Qisheng.(Degt. of Math. Jichou Un-r8ity 416o()o);On Quasi-Regular and Strong-Regular Rings[J];Journal of Jishou University(Natural Science Edition);1996-02
6 Li Qishen; Tuo Qin(Dept. of Math. and computer Science Jishou University, Jishou 416000);Several Characterizations of Semisimple Rings[J];JOURNAL OF JISHOU UNIVERSITY(NATURAL SCIENCE EDITION);1998-03
7 WANG De-zhan1,WANG Yao2(1.School of Mathematics,Liaoning Normal University,Dalian 116029,China;2.Department of Mathematics,Nanjing Xiaozhuang University,Nanjing 210017,China);Morphic Rings,PS-Rings,FS-Rings and Morita Context Rings[J];Journal of Jishou University(Natural Sciences Edition);2009-01
8 LEI Zhen(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On YJ-Injective Modules and Characteristic Properties of Strongly Regular Rings[J];Journal of Luoyang Normal University;2006-05
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 LING Deng-rong, XIA Xu-lin, DAI Ze-jian(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);SOME RESULTS OF G-MORPHIC RING[J];Journal of Anhui Normal University(Natural Science);2005-04
2 YAN Xiao-guang, CHU Mao-quan, DING Xue-zhi(College of Mathematics and Computer Science,Anhui Normal University, Wuhu 241000,China);G-morphic Modules[J];Journal of Anhui Normal University(Natural Science);2006-05
3 Wu Guihua; Zhang Jule (Department of Mathematics. Anhui Normal University);Von Neumann Regular Rings and P-V-Rings[J];Journal of Anhui Normal University(Natural Science);1994-04
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