PI-环上有限生成模的自同态的一个注记  

A NOTE ON ENDOMORPHISMS OF FINITELY GENERATED MODULES OVER PI RINGS

作　　者：游松发[1] 

机构地区：[1]湖北大学

出　　处：《数学杂志》1999年第2期215-217,共3页Journal of Mathematics

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.

关 键 词：PI-环 单自同态 本原环 有限生成模 自同态 

分 类 号：O153.3[理学—数学]