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具有非零分次基座的分次本原环的刻划
引用本文:王尧,任艳丽.具有非零分次基座的分次本原环的刻划[J].东北数学,2003,19(2):161-168.
作者姓名:王尧  任艳丽
作者单位:[1]DepartmentofMathematics,AnshanNormalUniversity,Anshan,114005;InstituteofMathematics,JilinUniversity,Ghangchun,130012 [2]DepartmentofMathematics,AnshanNormalUniversity,Anshan,114005
基金项目:Foundation item:The NSF(993521738)of Liaoning Education Department
摘    要:In this paper, we characterize the structure of group graded primitive rings having minimal graded one-sided ideals in terms of graded dual modules. We also show that two structure representations of this class of graded primitive rings are both in a sense uniquely determined by the graded primitive rings considered.

关 键 词:分次基座  分次本原环  单边理想  对偶模  结构表示  稠环  半态射  唯一性

Characterizations of Graded Primitive Rings with Non-zero Graded Socles
WANG Yao.Characterizations of Graded Primitive Rings with Non-zero Graded Socles[J].Northeastern Mathematical Journal,2003,19(2):161-168.
Authors:WANG Yao
Abstract:In this paper, we characterize the structure of group graded primitive rings having minimal graded one-sided ideals in terms of graded dual modules. We also show that two structure representations of this class of graded primitive rings are both in a sense uniquely determined by the graded primitive rings considered.
Keywords:graded dual module  graded dense ring  graded semi-morphism
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