摘要
本文将交换环上有限生成模的单自同态的有关结果推广到ＰＩ－环上，得到如下类似结果定理若Ｒ是ＰＩ－环，则Ｒ上任意有限生成模的单自同态是同构。
The motivation for this paper comes from trying to extend the result on endmorphisms of finitely generated modules over commutative rings to PI-rings.In doing so we obtain a similar result. Theorem For a PI ring R .Injective endmorphisms of finitely generated R modusles are isomorphisms if and only if R is primitive.
出处
《数学杂志》
CSCD
1999年第2期215-217,共3页
Journal of Mathematics
关键词
PI-环
单自同态
本原环
有限生成模
自同态
PI ring
injective endmorphisms
primitive ring
finitely generated
artin ring
