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《JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE)》 1999-01
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ON P INJECTIVE RINGS

YIN Xiao bin, \ WU Jun (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, China)  
Let R and T be two rings, let M be a left R right T bimodule and M T be faithful. In the paper, we study the p injectivity of T by R M T . The main results are the following: (1) T is a right p injective ring if and only if Mt=((Mt) C) S and Tt=(Mt:M) T for any t∈T ; (2) T is a left p injective ring if and only if tT=r Tl M(t) and l M(t)=((l M(t)) S) C for any t∈T .
【CateGory Index】: O153.3
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【References】
Chinese Journal Full-text Database 9 Hits
1 LI Chun-yuan;Mathematics Department,Baicheng Normal Univercity;;New Properties of P-Projective Modules and the Promotion of P-Hereditary Ring[J];白城师范学院学报;2015-02
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3 YANG Hai-dong,YIN Xiao-bin(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On a Generalization of EP-Injectivity[J];安徽师范大学学报(自然科学版);2013-03
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5 ZHU Zhi-yuan(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000);A Note On Singular-Injectivity of Rings[J];安庆师范学院学报(自然科学版);2010-03
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7 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];安徽师范大学学报(自然科学版);2009-02
8 LIANG Li (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China);Some studies on AGPinjective rings[J];西北师范大学学报(自然科学版);2005-02
9 LEI Zhen (Department of Mathematics, Wuhu Teachers' College, Wuhu 241008, China);ON GP-INJECTIVE RINGS[J];安徽师范大学学报(自然科学版);2002-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 YE Shan-shan;CHEN Huai-jun;Coll.of Math.& Comp.Sci.,Anhui Normal University;;Some singularly perturbed boundary value problems with two boundary layer phenomena[J];安徽工程大学学报;2014-01
2 JIANG Bu-yun,YIN Xiao-bin(College of Math.and Computer Science,Anhui Normal University,Wuhu 241000,China);Some Notes on ZGP-injectivity[J];安庆师范学院学报(自然科学版);2011-02
3 CHU Jian-xia (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Von Neumamm Regularity in Terms of JGP—Injective[J];安庆师范学院学报(自然科学版);2009-02
4 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];安徽师范大学学报(自然科学版);2009-02
5 YIN Xiao-bin,SHAN Fang-fang(College of Mathematics and Computer Science,Anhui Normal University, Wuhu 241000,China);A Note on GP-V′-Rings[J];安徽师范大学学报(自然科学版);2009-01
6 MIAO Jia-jing(Department of Mathematics,Mudanjiang teachers college,Mudanjiang 157012,china);On P-projective Modules[J];吉林师范大学学报(自然科学版);2007-03
7 ZHANG Li-hong(College of Mathematics,Jilin Normal University,Siping 136000,China);The codivisible modules and semisimple rings of relativelg hereditarg torsion theory[J];东北师大学报(自然科学版);2007-02
8 OUYANG Lun-qun(Department of Mathematics,Hunan Science and Technology University,Xiangtan,Hunan 411201,China);M-Projective Moduies and M-Projective Dimensions[J];内蒙古师范大学学报(自然科学汉文版);2007-03
9 LI Shan-shan(Dept.of Computer Science and Technology,Southwest University for Nationalities,Chengdu 610041,P.R.C.);P -flat module,P -injective module and some rings[J];西南民族大学学报(自然科学版);2007-01
10 Xiang Yueming (College of Mathematics and Computer Science,Hunan Normal University,Changsha,410081);Min-injective module and Min-flat module[J];数学理论与应用;2006-02
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Chinese Journal Full-text Database 8 Hits
1 CHEN Ping;YIN Xiao-bin;Coll.of Math.& Comp.Sci.,Anhui Normal University;;The equivalent properities of WGP-injeetive rings[J];安徽工程大学学报;2014-03
2 XU Longyu 1,WANG Fanggui 2,CHEN Hanlin 1(1.College of Science,Southwest University of Science and Technology,Mianyang 621010,Sichuan;2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);The Properties of P-Projective Modules[J];四川师范大学学报(自然科学版);2013-04
3 YANG Hai-dong,YIN Xiao-bin(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On a Generalization of EP-Injectivity[J];安徽师范大学学报(自然科学版);2013-03
4 ZHANG Li-hong1,DU Yi-qiu1,2(1.College of Mathematics,Jilin Normal University,Siping 136000,Jilin Province,China; 2.Institute of Mathematics,Jilin University,Changchun 130012,China);Co-projective Modules and Co-injective Modules Related to the Hereditary Torsion Theory[J];吉林大学学报(理学版);2011-03
5 AN Hong-qing1,WANG Fang-gui2 (1.The Teaching Department of Public Lesson,Weifang Medical College,Weifang 261053,China;2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China);The relation of flat module and (P) property[J];东北师大学报(自然科学版);2010-03
6 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];安徽师范大学学报(自然科学版);2009-02
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