弱直投射模和弱直内射模  

WEAKLY DIRECT PROJECTIVE MODULES AND WEAKLY DIRECT INJECTIVE MODULES

作　　者：刘永辉[1] 

机构地区：[1]枣庄师专

出　　处：《纯粹数学与应用数学》1997年第2期124-128,共5页Pure and Applied Mathematics

摘　　要：引入了弱直投射和弱直内射模的概念，给出了它们的一些性质．使用弱直投射和弱直内射模刻划了遗传环、半遗传环、半单环和ＱＦ－环．The concepts of Weakly direct projective modules and weakly direct injective modules are introduced. The properties of its are given. By using weakly direct projective modules and weakly direct injective modules, we characterize (Semi ) hereditarg rings, Semisimple rings and QF rings.

关 键 词：弱直投射模 弱直内射模 遗传环 半遗传环 

分 类 号：O153.3[理学—数学]