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《Journal of Anhui Normal University(Natural Science)》 1989-04
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Criterion of Semiprime Submodules

Zhang Jule Du Xianneng (Department of Mathematics)  
In this paper, we obtain some useful results and following theorems: (1) For any left R—module M, K≤M is a prime submodule if and only if C(K) is a m—system. (2) For any left R—module M, K≤M is a Semiprime submodule if and only if C(K) is a n—system.
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【References】
Chinese Journal Full-text Database 5 Hits
1 LIU Na,CHU Mao-quan (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On the Strong Prime Submdules[J];Journal of Anhui Normal University(Natural Science);2009-02
2 LU Hai-song (College of Mathematics and Computer Science,Anhui Normal University,241000,Wuhu,Anhui,China);Weakly Semiprime Subacts on S-acts[J];Journal of Huaibei Coal Industry Teachers College(Natural Science Edition);2009-01
3 XIA Xu-lin~1,LING Deng-rong~2,DAI Ze-jian~2 (1.Department of Elementary Education,Tongling College,Tongling 244000,China;2.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Some Characterizations of Weakly Semiprime Submodules[J];College Mathematics;2006-06
4 LIU Gang1,2,CHU Mao-quan1 (1.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China;2.Department of Application Mathematics,Suzhou University,Suzhou 234000,China);On the Perfectly Weak Semiprime Submodules[J];Journal of Anhui Normal University(Natural Science);2009-03
5 Bao Shizhong (Liuan Teachers′ College,Anhui);A CONDITION OF EQUIVALENCE OF SEMIPRIME SUBMODULES[J];Journal of Mathematics;1993-03
【Co-references】
Chinese Journal Full-text Database 10 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 XIA Xu-lin1,Chu Mao-quan2(1.Department of Elementary Education,Tongling College,Tongling 244000,China;2.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Some Studies on Weakly Semiprime Ideals[J];Journal of Anhui Normal University(Natural Science);2007-05
3 MAO Li-xin~(1,2)(1.Dept. of Math., Nanjing University, Nanjing210093,China;2.Dept. of Courses, Nanjing Institute of Technology, Nanjing210013,China);On n-P-Injective Modules[J];College Mathematies;2004-01
4 XIE Zhong-gen (Anhui Science and Technology University, Huainan232007,China)$$$$;Some Centre Element and Commutativity Theorems of Semi-prime Rings[J];College Mathematies;2005-01
5 XIA Xu-lin~1,LING Deng-rong~2,DAI Ze-jian~2 (1.Department of Elementary Education,Tongling College,Tongling 244000,China;2.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Some Characterizations of Weakly Semiprime Submodules[J];College Mathematics;2006-06
6 Zhang Gengchen (Harbin Institnte of Investement);Some Theorems on Commutativity of Semiprime Rings[J];Journal of Natural Science of Heilongjiang University;1990-03
7 Zhao Yumin(China Institute of Coal Economy,Yantai);On Commutativity of Semiprime Rings[J];Journal of Natural Science of Heilongjiang University;1991-01
8 Zhu Jie; Yu Xianjun; Guo Chunguang (Heilongjiang Commerical College, Harbin 150076);Some Centre Element and Commutativity Theorems of Semiprime Rings[J];JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY;1998-04
9 CAO Da-yong, YANG Xin-song (Applied Sciences College, Harbin Univ. Sci. Tech., Harbin 150080, China);Commutativity Theorems on Semiprime Rings[J];Journal of Harbin University of Science and Technology;2004-02
10 LI Ping, YANG Xin-song, CHEN Guang-hai (Applied Science College, Harbin Univ. Sci. Tech., Harbin 150080, China; Department of Mathematics, Harbin Normal University, Harbin 150500, China);Commutativity Conditions of Semi-prime Rings[J];Journal of Harbin University of Science and Technology;2004-05
【Secondary References】
Chinese Journal Full-text Database 4 Hits
1 LIU Na,CHU Mao-quan (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On the Strong Prime Submdules[J];Journal of Anhui Normal University(Natural Science);2009-02
2 LU Hai-song (College of Mathematics and Computer Science,Anhui Normal University,241000,Wuhu,Anhui,China);Weakly Semiprime Subacts on S-acts[J];Journal of Huaibei Coal Industry Teachers College(Natural Science Edition);2009-01
3 XIA Xu-lin~1,LING Deng-rong~2,DAI Ze-jian~2 (1.Department of Elementary Education,Tongling College,Tongling 244000,China;2.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Some Characterizations of Weakly Semiprime Submodules[J];College Mathematics;2006-06
4 LIU Gang1,2,CHU Mao-quan1 (1.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China;2.Department of Application Mathematics,Suzhou University,Suzhou 234000,China);On the Perfectly Weak Semiprime Submodules[J];Journal of Anhui Normal University(Natural Science);2009-03
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