Modules which are self-p-injective relative to projection invariant submodules

被引：0
|
作者：
Kara, Yeliz [1 ]
Tercan, Adnan [1 ]
机构：
[1] Hacettepe Univ, Dept Math, Beytepe Campus, TR-06532 Ankara, Turkey
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2017年 / 25卷 / 01期
关键词：
injective module; projection invariant submodule; RI-extending module; extending module;
D O I：
10.1515/auom-2017-0010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI-extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is shown that they form a substantially bigger class of modules.
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页码：117 / 129
页数：13
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