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《JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION)》 1998-04
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Superprime Properties of the Semirings with Reversible Addition

Zhou Yuanlan (Department of Mathematics of Jiangxi Normal Uinversity,Nanchang 330027)  
In this paper,we have discussed the properties and comections of prime semirings,super prime semirings and subdirect indecomposition,and gotten the main result:Any super prime semiring with reversible addition can be imbedded in a division semiring with reversible addition.The result it the extension about rings.
【CateGory Index】: O153.3
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 Ao Zhongping (Dept.of Math.);The Strong Ideal of Semiring and Prime-semiring[J];Journal of Jiangxi Normal University(Natural Sciences Edition);1993-03
2 Chen Peici(Dept. of Math. of Jiangxi Normal University,Nanchang 330027);Homomorphic Theorems of the Semirings with Reversible Addition[J];Journal of Jiangxi Normal University (Natural Sciences Edition);1994-02
3 Chen Peici (Department of Mathematics,Jiangxi Normal University,Nanchang 330027);The f regular Radicals of the Semirings with Reversible Addition[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1997-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 OU Qi-tong,DENG Huo-di(Department of Mathematics and Computer Science,Sanming College,Sanming 365004,China);Bi-ideal of semiring[J];Journal of University of Science and Technology Liaoning;2009-03
2 Chen Peici(Dept. of Math. of Jiangxi Normal University,Nanchang 330027);Homomorphic Theorems of the Semirings with Reversible Addition[J];Journal of Jiangxi Normal University (Natural Sciences Edition);1994-02
3 CHEN Pei-ci; WANG Quan-long (Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330027, China);Weak Additive Category[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2000-04
4 AO Zhong-ping(Department of Computer Science,Guangzhou Petroleum,Guangzhou 510510,China);On a New Describition of J-Semisimple Semirings[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2003-01
5 AO Zhong-ping1, CHEN Pei-ci2 (1.Dept. of Computer Science ,University of Petroleum(Guangzhou),Guangzhou 510510,China; 2.Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China);Prime-Ideals of -Semirings and Prime-Semirings[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2005-04
6 ZHANG Ting-hai,CHEN Pei-ci,HUANG Fu-sheng(Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China);-Structure of Semimodule[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2006-03
7 AO Zhong-ping1,CHEN Pei-ci2,SONG Hai-yan1(1.Department of Computer Science,University of Petroleum,Guangzhou 510510,China;2.Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China);The Orders of Semirings and Semireal Semirings[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2007-02
8 AO Zhong-ping1,CHEN Pei-ci2,CAI Shu-ping1 (1.Department of Computer Science,Universityof Petroleum,Guangzhou,510510,China;2.Institute of Mathematics and Information,Jiangxi Normal University,Nanchang,330027,China);Exact Sequence of Cancellable Semimodules[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-06
9 AO Zhong-Ping 1,CHEN Pei-ci2,CAI Shu-ping1 (1.Department of Computer Science,Guangzhou University of Petroleum,Guangzhou 510510,China;2.Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330022,China);Semireal Semiring Based on Being Subtractive and Semireal Prime Ideals[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2009-05
10 GAN Ai-ping1,JIANG Yang-lan2,HUANG Fu-sheng1(1.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China;2.Jiangxi People's Police College,Nanchang Jiangxi 330103,China);L-Star Semirings[J];Journal of Jiangxi Normal University(Natural Science Edition);2010-02
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