Z-Essential Submodules

Muntaha khudhair Abbas; Yahya Talebi; Inaam M. Ali Hadi

doi:10.24996/ijs.2024.65.3.28

Authors

Muntaha khudhair Abbas University of Mazandaran, Faculty of Mathematical Sciences, Department of Mathematics,Bobolsar , Iran / Technical College of Management, Baghdad,Middle Technical University, Baghdad, Iraq
Yahya Talebi University of Mazandaran, Faculty of Mathematical Sciences, Department of Mathematics,Bobolsar , Iran https://orcid.org/0000-0003-2311-4628
Inaam M. Ali Hadi University of Baghdad, College of Education for Pure Science Ibn Al-Haitham, Department of Mathematics

DOI:

https://doi.org/10.24996/ijs.2024.65.3.28

Keywords:

Z- small submodule, Z-essential submodule, Z-singular submodule, Z-closed submodules, Z - nonsingular submodule

Abstract

We define and investigate Z- essential submodules as a generalization of essential submodules. Various characterizations and properties of Z-essential submodules are given. Moreover we introduce the concepts of Z-singular submodule and Z-closed submodules.