关于主伪内射模(英文)  

On Principally Pseudo-Injective Modules

作　　者：韩仑[1] 陈淼森[1] 

机构地区：[1]浙江师范大学数学系,浙江金华321004

出　　处：《数学研究》2009年第2期154-159,共6页Journal of Mathematical Study

摘　　要：对于环R.一个右R模被叫做主伪内射模,若每一个从M的主子模到M的单同态可以扩张为M的自同态.主伪内射是主拟内射的推广。在本文中,我们给出了一些主伪内射的性质并讨论什么情况下主伪内射模是主拟内射模的问题。Let R be a ring. An R-module M is called principally pseudo-injective if each R- monomorphism from a principal submodule of M to M can be extended to all endomorphism of M. Principally pseudo-injective is a generalization of principally quasi -injective. In this paper, we give several properties of principally pseudo-injective, and discuss the question of when a principally pseudo-injective module is principally quasi-injective.

关 键 词：主拟内射 主伪内射 自同态环 CS 

分 类 号：O153.3[理学—数学]