jzs-10819

On Weakly Pure Submodules of Locally Multiplication Modules

Adil Kadir Jabbar1 and Pery Karim Hussein*1

 1Department of Mathematics, College of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq

*Corresponding author’s e-mail: peryarina@gmail.com 

Original: 17 February 2020        Revised: 5 September 2020        Accepted: 26 September 2020        Published online: 20 December 2020  

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Abstract

In this paper, the definition of weakly pure submodule is introduced and studied and also weakly pure submodules of locally multiplication modules are studied and some properties that concern this type of modules in locally multiplication modules are proved. In addition, several properties of multiplication modules have been extended to locally multiplication modules and some relations that concerning weakly pure submodules and weakly pure submodules are obtained.

Key Words: Weakly pure submodules, multiplication modules, locally multiplication modules, faithful modules and weakly pure submodule

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