某些类型模块的定位和一些属性

A. Jabbar, R. Amin
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引用次数: 0

摘要

本文研究了局部素数模和局部素数模,给出了局部素数模的一些性质。给出了局部素模几乎是素模和非零模是局部素模的一些条件。给出了Artinian模和局部Artinian模的一些性质。此外,还研究了强约简模、原始约简模、根本约简模等类型,并证明了这些类型模的一些性质。此外,还建立了这类模块的一些关系,并给出了它们的一些表征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Localization and Some Properties of Certain Types of Modules
In this paper Artinian and locally prime modules are studied and somecharacterizations of locally prime modules are given. Some conditions are givenunder which locally prime modules are almost prime modules and a nonzeromodule is a locally prime module. Some properties of Artinian and locally Artinianmodules are given. Also, strongly reduced modules, primally reduced modules,radically reduced modules and some other types are studied and investigated andsome properties of these types of modules are proved. In addition, some relationsthat concerning these types of modules are established and some characterizationsof them are given.
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