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分次P-根
引用本文:任艳丽,王尧.分次P-根[J].数学季刊,2000,15(4):10-11.
作者姓名:任艳丽  王尧
作者单位:鞍山师范学院数学系!辽宁鞍山114005
基金项目:SupportedbytheNSFofLiaoningEducationDepartment(982 742 1190 )
摘    要:在一般Monoid分次环范畴中定义了一种新的分次根——分次P-根,得到分次环的一个结构定理,证明分次P-根是一个分次特殊根,给出了它的分次模刻划,讨论了它与自反P-根的关系。

关 键 词:分次P-理想  分次根  分次模  分次P-根

Graded P-radical
REN Yan-li,WANG Yao.Graded P-radical[J].Chinese Quarterly Journal of Mathematics,2000,15(4):10-11.
Authors:REN Yan-li  WANG Yao
Abstract:In the category of general monoid graded rings, we propose a new graded radical, i.e. the graded P radical, obtain the structure theorem of corresponding semisimple graded rings, show that it is a graded special radical and present the graded module characterization of it. Moreover, we investigate the relations between it and reflect P radical.
Keywords:graded P-  ideal  graded radical  graded modul\
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