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《Journal of Zhejiang University(Natural Science)》 1993-04
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On Jacobson radicals and idempotent heart radicals for gamma rings

Chen Weixin Zhang Shouchuan(Department of Mathematics)  
The main works in this paper include two parts:(1)For known Jacobson radical of gamma ring we give a new characterization: Jacobson radical is an upper radical determined by a special class.(2)Some special classes have been constructed in gamma rings. Thus we obtain many new radical of gamma rings, e. g. idempotent heart radical and dual radical. The properties and relations of these radicals are studied. The corresponding results are obtained.
【Fund】: 浙江省自然科学基金
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Zhang Shouchuan Chen Weixin(Dept. of Mathematics);The general theory of radicals for gamma rings and baer radical[J];Journal of Zhejiang University(Natural Science);1991-06
【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
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4 Liu Shaoxue(Department of Mathematics);STRUCTURE OF ARTINIAN GRADED RINGS[J];Journal of Beijing Normal University(Natural Science);1989-03
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
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9 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
10 ZHU Ping (Department of Computation Science & Information Communication, Southern Yangtze University,Wuxi 214036 China);The structure and the numbers of the cyclic subsemigroups and the construction of the quasi-ring[J];Pure and Applied Mathematics;2002-03
【Co-references】
Chinese Journal Full-text Database 9 Hits
1 CEN Jian-miao (Department of Mathematics, Ningbo University, Ningbo 315211);Matrix Γ_α-Moore-Penrose Inverses and the Star Ordering[J];Chinese Journal of Engineering Mathematics;2006-01
2 Cen Jianmiao (Department of Mathematics,Ningbo University,Ningbo 315211);ONΓ-DRAZIN INVERSES AND CORE-NILPOTENT DECOMPOSITION OF RECTANGULAR MATRICES[J];Numerical Mathematics a Journal of Chinese Universities;2006-03
3 Cen Jianmiao (Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China);ON EXISTENCE OF WEIGHTED GROUP INVERSES OF RECTANGULAR MATRICES[J];Mathematica Numerica Sinica;2007-01
4 Chen Jianlong (Department of Mathematics and Mechanics, Southeast University, Nanjing 210018, China);Group Inverses and Drazin Inverse of Matrices over Rings[J];Acta Mathematica Sinica;1994-03
5 Jian Miao CEN Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China;On Existence of the Generalized Moore-Penrose Inverses of Matrices over Ring[J];Acta Mathematica Sinica;2006-03
6 Chen Weixin;On the Unity in Γ-rings[J];Journal of Mathematical Research and Exposition;1991-03
7 CEN Jian-miao (Dept. of Math., Ningbo University, Zhejiang 315211, China );Γ-minus Ordering of Morphism Set in Category[J];Journal of Mathematical Research and Exposition;2005-04
8 Chen Weixin (Dept. of Math., Zhejiang Univ., Hangzhou 310027);The QN Radicals and K Radicals of Γ Rings and Their Matrix Rings[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1997-02
9 Zhang Shouchuan Chen Weixin(Dept. of Mathematics);The general theory of radicals for gamma rings and baer radical[J];Journal of Zhejiang University(Natural Science);1991-06
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