MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS

被引：83

作者：

Lee, Tsiu-Kwen ^{[1
]}

Zhou, Yiqiang ^{[2
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Automorphism-invariant module; CS-module; pseudo-injective module; quasi-injective module; semiprime right Goldie ring; RINGS;

D O I：

10.1142/S0219498812501599

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A module is defined to be an automorphism-invariant module if it is invariant under automorphisms of its injective hull. Quasi-injective modules and, more generally, pseudo-injective modules are all automorphism-invariant. Here we develop basic properties of these modules, and discuss when an automorphism-invariant module is quasi-injective or injective. Some known results on quasi-injective and pseudo-injective modules are extended.

引用

页数：9

共 22 条

[1] Modules which are invariant under monomorphisms of their injective hulls [J].