任意Krull-Schmidt范畴中的右极小态射(英文)  

RIGHT MINIMAL MORPHISMS IN ARBITRARY KRULL-SCHMIDT CATEGORIES

作　　者：边宁[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《数学杂志》2009年第5期577-580,共4页Journal of Mathematics

基　　金：Supported by the NNSF of China(10301033 ; 10271113)

摘　　要：本文研究任意Krull-Schmidt范畴中的右极小态射.利用半完全环众所周知的理论,证明了任意Krull-Schmidt范畴中右极小态射的基本定理,推广了具有有限长度模范畴上的经典结果[1].In this article, we study the right minimal morphisms in arbitrary Krull-Schmidt categories. Using well-known results on semiperfect rings, we prove the fundamental theorem of right minimal morphisms in arbitrary Krull-Schmidt categories. This generalizes the classical result [1, p.6] on the category of modules of finite length.

关 键 词：半完全环 Krull—Schmidt范畴 右极小态射 

分 类 号：O154.1[理学—数学]