M-injective modules and prime M-ideals

被引：30

作者：

Beachy, JA ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 10期

关键词：

D O I：

10.1081/AGB-120014660

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a left R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we investigate conditions on the module M which imply that there is a one-to-one correspondence between isomorphism classes of indecomposable M-injective modules and "prime M-ideals".

引用

页码：4649 / 4676

页数：28

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