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.

引用

页码：96 / 110

页数：15

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