On (m, n)-injectivity of modules

被引：33
|
作者：
Chen, JL [1 ]
Ding, NQ
Li, YL
Zhou, YQ
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Southeast Univ, Dept Appl Math, Nanjing 210096, Peoples R China
[3] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[4] Mem Univ Newfoundland, St Johns, NF A1C 5S7, Canada
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 12期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
D O I：
10.1081/AGB-100107948
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring. For two Fixed positive integers in and n, a right R-module M is called (m,n)-injective if every right R-homomorphism from an n-generated submodule of R-m to M extends to one from R-m to M. This definition unifies several definitions on generalizations of injectivity of modules. The aim of this paper is to investigate properties of the (m, n)-injective modules, Various results are developed, many extending known results.
引用
收藏
页码：5589 / 5603
页数：15
相关论文
共 50 条
12345