Z-Essential Submodules

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.

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Published

2024-03-29

Issue

Section

Mathematics

How to Cite

Z-Essential Submodules. (2024). Iraqi Journal of Science, 65(3), 1521-1530. https://doi.org/10.24996/ijs.2024.65.3.28

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