Pure Essential Submodules

Omar Hameed  Ibrahim; Nuhad Salim  Al-Mothafar

doi:10.24996/ijs.2025.66.5.%g

Authors

Omar Hameed Ibrahim Department of Mathematics, College of Science, University of Baghdad, Baghdad-Iraq
Nuhad Salim Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Baghdad-Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.5.%25g

Keywords:

Essential submodule, pure essential submodules, pure relative complement submodules, pure uniform modules

Abstract

In this work, we generalized the notion of essential submodules by introduce the notion that namely pure essential submodules. We also introduce two notions pure relative complement submodules and pure uniform modules, as well as some other related concepts. The fundamental characteristics of these ideas are investigated.