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分次环的分次Jacobson根--分次局部环和分次Artin环
引用本文:赵巨涛,张积成.分次环的分次Jacobson根--分次局部环和分次Artin环[J].长治学院学报,2001,18(3):1-4.
作者姓名:赵巨涛  张积成
作者单位:1. 晋东南师专数学系,长治,046011
2. 湘潭师范学院数学系,湘潭,411201
基金项目:the Science Foundation of Jindongnan Teacher's College.
摘    要:文章构建了分次环的分次Jacobson根,给出了Jg(R)的一个重要的特征,并运用Jg(R)对分次局部环和分次Artian环的特征性质做了一些刻划.

关 键 词:分次Jacobson根  分次局部环  分次Artian环  分次半单模

Graded Jacobson Radicals of Graded Rings--graded local rings and graded Artinian rings
ZHAO Ju-tao,ZHANG Ji-cheng.Graded Jacobson Radicals of Graded Rings--graded local rings and graded Artinian rings[J].Journal of Changzhi University,2001,18(3):1-4.
Authors:ZHAO Ju-tao  ZHANG Ji-cheng
Abstract:In this paper, we construct Jacobson Radicals of graded rings. We come to an important multiplecharacterization of Jg(R),and some properties of graed local rings and graded Artinian rings are represented.
Keywords:Graded Jacobson Radicals  Graded Local Ring  Graded Artinian Ring  Graded Semisimple  
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