On Primarily Hollow Module

Volume 20 , Issue 3 , December 2018 , Pages 95-104

Authors

Adil Kadir Jabbar 1 ; Payman Mahmood Hamaali 1

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

DOI logo 10.17656/jzs.10738

Keywords

Abstract

An R- module  M is called primarily hollow module if every primary submodule of  is a small submodule in. This definition extends several notions in the literature of hollow module. Some certain equivalent conditions to primarily hollow modules. Also, we verified that a primarily hollow module which contains a maximal submodule is a multiplication module and every multiplication primarily hollow module is indecomposable.

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  • Published at20 December 2018

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