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《JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION)》 1997-01
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The f regular Radicals of the Semirings with Reversible Addition

Chen Peici (Department of Mathematics,Jiangxi Normal University,Nanchang 330027)  
In this paper,we defined the f regular radicals of the semirings with reversible addition,and proved the structure theorems of the f regular semirings and the f regular semisimple semirings.Applying those results to the commutative rings,we gave the structure theorems of Von Neumann regular rings and Von Neumann regular semisimple rings,and new descriptions of the Jacobson radicals and the Jacobson semisimple rings.
【Fund】: 国家自然科学基金
【CateGory Index】: O153.3
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【References】
Chinese Journal Full-text Database 1 Hits
1 Zhou Yuanlan (Department of Mathematics of Jiangxi Normal Uinversity,Nanchang 330027);Superprime Properties of the Semirings with Reversible Addition[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1998-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 FU Cheng-hua,CUI Dian-jun(Fushun Teachers College,Fushun 113006,China);Commutativity of associative rings which meets [s,m(i),n(j)] center condition[J];Journal of Anshan University of Science and Technology;2006-06
2 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
3 WANG Ping hua (Dept.Math.,Quanzhou Teachers College,Quanzhou 362000,Fujian,China);Lie structures of [S,S][J];Journal of Baoji College of Arts and Science(Natural Science Edition);2001-03
4 YANG Wen qi (Dept.Math.,Baoji Coll.Arts & Sci.,Baoji 721007,Shaanxi China);Some results of semi-prime ideal of the ring[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2002-02
5 Zhu Bin (Department of Mathematics, Beijing Normal University, University, 100875,Beijing, China);GRADED PRIMITIVE RINGS AND KAPLANSKY THEOREM[J];JOURNAL OF BEIJING NORMAL UNIVERSITY(NATURAL SCIENCE);1998-01
6 Meng Xiaoqing(Department of Mathematics,Beijing Normal University,100875,Beijing,PRCj;IDEMPOTENTS,RETRACTS AND FIXED-POINTS[J];JOURNAL OF BEIJING NORMAL UNIVERSITY;1994-02
7 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
8 Feng Lianggui(Dept. of Math. of Nanjing University,Nanjing 210008);The Injective Radical of Modules[J];Journal of Jiangxi Normal University (Natural Sciences Edition);1994-02
9 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
10 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
【Co-references】
Chinese Journal Full-text Database 2 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
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