论文标题
中央内部AIP模块
Centrally endo-AIP Modules
论文作者
论文摘要
在本文中,我们介绍了中央内部AIP模块的概念。我们称为中央内部AIP的模块,如果内态性n中任何完全不变的M模块n的左歼灭者S = End(m)是S的中心空调理想。我们讨论了中心内部内部AIP模块的某些特性。我们还研究了中央内部AIP模块的内态环,并以中央内部AIP模块的形式表征了准贝尔模块
In this paper, we introduce the concept of centrally endo-AIP modules. We call a module M centrally endo-AIP, if the left annihilator of any fully invariant submodule N of M in the endomorphism ring S = End(M) is a centrally s-unital ideal of S. We discuss some properties of centrally endo-AIP modules. We also study the endomorphism ring of centrally endo-AIP modules and characterize quasi-Baer modules in terms of centrally endo-AIP modules