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.
出处
《纯粹数学与应用数学》
CSCD
1997年第2期124-128,共5页
Pure and Applied Mathematics
关键词
弱直投射模
弱直内射模
遗传环
半遗传环
Weakly direct projective module
Weakly direct injective module
