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关于加法范畴的Kothe根
引用本文:洪平洲,赖章荣.关于加法范畴的Kothe根[J].赣南师范学院学报,1994(6):6-12.
作者姓名:洪平洲  赖章荣
作者单位:赣南师院数学系
摘    要:本文在加法范畴中引入了Kothe根的概念,给出了加法范畴Kothe根的刻划,得到了与环论中结论类似的结构定理。

关 键 词:加法范畴,Kothe模,Kothe根,Kothe半单

THE KOTHE RADICAL OF ADDITIVE CATEGORIES HONG PING ZHOU LAI ZHANG RONG
Institution:(Department of Mathematics
Abstract:In this paper,the concept of the Kothe radical of additive categories is given by means of module theo-retic characterization,and the stucture theorem of the Kothe- semisimple additive category is obtained. It is the analogy that the theory of rings is given.
Keywords:additive category  Kothe module  Kothe radical  Kothe semisimple
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