Cotorsion modules and relative pure-injectivity

被引：17
|
作者：
Mao, Lixin
Ding, Nanqing [1 ]
机构：
[1] Nanjing Inst Technol, Dept Basic Courses, Nanjing 210013, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2006年 / 81卷
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
cotorsion module; relative pure-injective module; PS ring; universally mininjective ring; pure-V-ring;
D O I：
10.1017/S1446788700015858
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring. A right R-module C is called a cotorsion module if Ext(R)(1)(F, C) = 0 for any flat right R-module F. In this paper, we first characterize those rings satisfying the condition that every cotorsion right (left) module is injective with respect to a certain class of right (left) ideals. Then we study relative pure-injective modules and their relations with cotorsion modules.
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页码：225 / 243
页数：19
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