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Γ-环的Jacobson根和幂等心根
引用本文:陈维新,张寿传.Γ-环的Jacobson根和幂等心根[J].浙江大学学报(自然科学版 ),1993(4).
作者姓名:陈维新  张寿传
作者单位:浙江大学数学系 (陈维新),浙江大学数学系(张寿传)
摘    要:本文工作分两方面:一是对原有Γ-环的Jacobson根给出了一个新的特征刻划:它是一个特殊类所确定的上根;二是构作出一些特殊类,从而得到一批Γ-环新的根,如幂等心根、对偶根,进而探讨了这些根的性质和相互关系,得到相应的结果。

关 键 词:Γ-环  特殊根  Jacobson根  幂等心根  对偶根

On Jacobson radicals and idempotent heart radicals for gamma rings
Chen Weixin Zhang Shouchuan.On Jacobson radicals and idempotent heart radicals for gamma rings[J].Journal of Zhejiang University(Engineering Science),1993(4).
Authors:Chen Weixin Zhang Shouchuan
Affiliation:Department of Mathematics
Abstract: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.
Keywords:gamma ring  special radical  jacobson radical  idempotent heart radical  dual radical  
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