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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 5 Hits
1 LEI Zhen (Department of Mathematics, Wuhu Teachers' College, Wuhu 241008, China);ON GP-INJECTIVE RINGS[J];Journal of Anhui Normal University(Natural Science);2002-02
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
3 ZHANG Li-hong,LIU Yan(College of Mathematics,Jilin Normal University,Siping 136000,China);Study on the C-injective modules[J];Journal of Northeast Normal University(Natural Science Edition);2009-03
4 ZHU Zhi-yuan(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000);A Note On Singular-Injectivity of Rings[J];Journal of Anqing Teachers College(Natural Science Edition);2010-03
5 LIANG Li (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China);Some studies on AGPinjective rings[J];Journal of Northwest Normal University(Natural Science Edition);2005-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 YIN Xiao-bin, WU Jun (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, China);SOME STUDIES ON p-INJECTIVE MODULES[J];JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE);2000-01
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
3 LEI Zhen (Department of Mathematics, Wuhu Teachers' College, Wuhu 241008, China);ON GP-INJECTIVE RINGS[J];Journal of Anhui Normal University(Natural Science);2002-02
4 CHU Jian-xia (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Von Neumamm Regularity in Terms of JGP—Injective[J];Journal of Anqing Teachers College(Natural Science Edition);2009-02
5 ZHANG Qing cheng 1,ZHANG Yong zheng 2 (1.Department of Mathematics, Jilin Vocational Teacher's College, Changchun 130052, China; 2.Department of Mathematics, Northeast Normal University, Changchun 130024, China);On the homology and cohomology groups of associative superalgebras[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);2000-01
6 ZHANG Li-hong(College of Mathematics,Jilin Normal University,Siping 136000,China);The codivisible modules and semisimple rings of relativelg hereditarg torsion theory[J];Journal of Northeast Normal University(Natural Science Edition);2007-02
7 You Hong(Department of Mathematics, Northeast Normal University. Changchun,130024);Substitution Property of Finitely Gerserated Quadratic Module and -Stable Condition[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1994-04
8 XIA Zhang-sheng,ZHAN Jian-ming (Hubei Institute for Nationalities,Enshi 445000,China);Two classes of rings on P-injective modules[J];Journal of Hubei Institute For Nationalities;2001-02
9 ZHAN Jianming, TAN Zhisong,XIA Zhangsheng(Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000,China);Characteristics of P-Injective Modules[J];Journal of Liaoning Normal University(Natural Science Edition);2003-01
10 MIAO Jia-jing(Department of Mathematics,Mudanjiang teachers college,Mudanjiang 157012,china);On P-projective Modules[J];Jilin Normal University Journal(Natural Science Edition);2007-03
【Secondary References】
Chinese Journal Full-text Database 5 Hits
1 XIA Xu-lin, LING Deng-rong, DAI Ze-jian(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);SOME CHARACTERIZATIONS ON COMMUTATIVITY OF SEMIPRIME RINGS[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
3 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];Journal of Northeast Normal University(Natural Science Edition);2010-03
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];Journal of Jilin University(Science Edition);2011-03
5 LIANG Li (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China);Some studies on AGPinjective rings[J];Journal of Northwest Normal University(Natural Science Edition);2005-02
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