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《Journal of Jiangxi Normal University (Natural Sciences Edition)》 2005-04
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Prime-Ideals of -Semirings and Prime-Semirings

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)  
The description theorem of prime -semirings and semiprime -semirings are given in this paper.
【Fund】: 江西省自然科学基金资助项目(0211022).
【CateGory Index】: O153.3
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【References】
Chinese Journal Full-text Database 8 Hits
1 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
2 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
3 OU Qitong,SU Liangbin(Department of Mathematics and Computer Science,Sanming College,Sanming 365004,China);Pseudo Ideals of Semirings[J];Journal of Chengdu University(Natural Science Edition);2008-04
4 OU Qi-tong (Department of Mathematics and Computer Science,Sanming College,Sanming 365004,China);Subminimal ideal of semiring[J];Journal of Changchun University;2008-06
5 LU Cheng-xin(Department of Mathematics and Computer Science,Sanming College,Sanming 365004);Weak Pseudo Ideal of Semiring[J];Journal of Changzhou Institute of Technology;2009-Z1
6 OU Qi-tong(Department of Mathematics and Computer Science,Sanming College,Sanming 365004,China);Submaximal Ideal of Semiring[J];Journal of Guangxi University for Nationalities(Natural Science Edition);2008-03
7 AO Zhongping,CAI Shuping,SONG Haiyan (Department of Computer Science,University of Petroleum(Guangzhou), Guangzhou Guangdong 510510);Z-homomorphism and Exact Sequence of Semimodules[J];Journal of Xinjiang Normal University(Natural Sciences Edition);2007-04
8 AO Zhongping,CAI Shuping,SONG Haiyan (Department of Computer Science,University of Petroleum(Guangzhou),Guangzhou Guangdong 510510);Five Lemma of Cancellable Semimodules[J];Journal of Xinjiang Normal University(Natural Sciences Edition);2008-02
【Citations】
Chinese Journal Full-text Database 1 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
【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 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
6 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
7 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
8 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
9 Chen Peici(Department of Mathematics,Jiangxi Normal University,Nanchang 330027));The Semiring Structure of Languages and Codes[J];Journal of Jiangxi Normal University (Natural Sciences Edition);1997-04
10 Wang Songsheng (Department of Mathematics,Jiangxi Normal University,Nanchang 330027);Congruences and Quotient Semirings of the Semirings with Commutative Addition[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1998-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 SUN Yongli YU Jianping (Academy of Mathematics and System Sciences,CAS,Beijing,100080) LI Shizheng ZHANG Yufen (Department of Mathematics,Shandong Normal University,Jinan,250014);Congruences on Some Quasi-Completely Regular Semirings[J];Acta Scicentiarum Naturalum Universitis Pekinesis;2004-05
2 Ao Zhongping (Dept.of Math.);The Strong Ideal of Semiring and Prime-semiring[J];Journal of Jiangxi Normal University(Natural Sciences Edition);1993-03
3 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
4 FENGJian-wen, HUANGFu-sheng(Institute of Mathematics and Informatics ,Jiangxi Normal University,Nanchang 330027 ,China);Nilpotent Ideals over Hemirings[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2005-04
5 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
6 YANG Wen-qi (Dept.Math, Baoji Coll. Arts and Sci.,Baoji 721007,China);Submaximal ideal of the ring[J];Pure and Applied Mathematics;2003-01
7 OU Qi-tong~1,HUANG Fu-sheng~2,CHEN Pei-ci~2(1.Department of Mathematics and Computer Science,Sanming college,Sanming 365004,China;2.Department of Mathematics,Jiangxi Normal University,Nanchang 330027,China);Star construction of semirings[J];Pure and Applied Mathematics;2006-01
8 OU Qi-tong(Department of Mathematics and Computer Science,Sanming College,Sanming 365004,P R China);Some Properties of Matrix Semiring over a Semiring[J];Journal of Chongqing University(Natural Science Edition);2007-11
9 OU Qi-tong(Department of Mathematics,Sanming College,Sanming 365004,China);Subdirect Decomposition Theorem of Star Semirings[J];Journal of Gansu Education College(Natural Science Edition);2005-04
10 ZHU Tian-min1,YANG Hui2(1.Department of Mathematics,Shanxi Weinan Teachers College,Shanxi Weinan 714000,China;2.Department of Foundation,Anyang Institute of Technology,Henan Anyang 455001,China);Semilattice Varieties and Multiplicative Band Semirings[J];Journal of Henan University(Natural Science);2007-04
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 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
2 AO Zhongping,CAI Shuping,SONG Haiyan (Department of Computer Science,University of Petroleum(Guangzhou), Guangzhou Guangdong 510510);Z-homomorphism and Exact Sequence of Semimodules[J];Journal of Xinjiang Normal University(Natural Sciences Edition);2007-04
3 AO Zhongping,CAI Shuping,SONG Haiyan (Department of Computer Science,University of Petroleum(Guangzhou),Guangzhou Guangdong 510510);Five Lemma of Cancellable Semimodules[J];Journal of Xinjiang Normal University(Natural Sciences Edition);2008-02
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