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《Journal of Anhui Normal University(Natural Science)》 2006-01
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Nonsingularity of AP-Injective Rings

YIN Xiao-bin,CHU Mao-quan (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)  
In this paper,we mainly prove that right P-V′ and right AP-injective rings are left nonsingular and discuss the regularity of right nonsingular AP-injective rings.In addition,we give an example of left P-V′,right AP-injective ring but neither right P-V′ring nor left AP-injective ring.
【Fund】: 国家自然科学基金(10371061);; 安徽省高校青年教师基金(2003jq107);; 安徽省教育厅自然科学基金(2003kj166);; 安徽师范大学科研专项基金(2005XZX15)
【CateGory Index】: O153.3
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 XIAO Guang-shi 1, CHU Mao-quan 2 (1.Department of Mathematics, Nanjing University, Nanjing 210008, China; 2.College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China);A NOTE ON AP-INJECTIVE RINGS[J];Journal of Anhui Normal University(Natural Science);2001-03
2 YIN Xiao-bin, WU Jun (College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China);THE (VON NEUMANN) REGULARITY OF YJ-INJECTIVE RINGS[J];Journal of Anhui Normal University(Natural Science);2001-03
【Co-citations】
Chinese Journal Full-text Database 2 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 CHU Jian-xia1,LU Qi1,2 (1.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000;2.Department of Science,Bengbu College,Bengbu 233000,China);A Note On JGP-Injective Rings[J];Journal of Anhui Normal University(Natural Science);2009-02
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Zhang Jule (Dept.of Math.);ON NONSINGULAR RINGS[J];Journal of Anhui Normal University(Natural Science);1986-04
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