Localization and Some Properties of Certain Types of Modules

Abstract

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.