GENERALIZATIONS OF INJECTIVE MODULES

被引：0
|
作者：
Sanchez Campos, Esperanza [1 ]
Smith, Patrick F. [2 ]
机构：
[1] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29080, Spain
[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2012年 / 11卷
关键词：
injective module; semihereditary ring;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring with identity. Given a positive integer n, a unitary right R-module X is called n-injective provided, for every n-generated right ideal A of R, every R-homomorphism phi : A -> X can be lifted to R. In this note we investigate this and related injectivity conditions and show that there are many rings R which have an n-injective module which is not (n+1)-injective.
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页码：96 / 110
页数：15
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