Quasi-Radical Semiprime Submodules

Omar M  Al-Ragab; Nuhad S.  Al-Mothafar

doi:10.24996/ijs.2022.63.5.28

Authors

Omar M Al-Ragab Department of Mathematics, College of Science, Baghdad University, Baghdad, Iraq
Nuhad S. Al-Mothafar Department of Mathematics, College of Science, Baghdad University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.5.28

Keywords:

Semi prime submodule, Quasi-semi prime submodule, Radical semi prime submodule, Quasi- radical semi prime submodule

Abstract

In this paper, we introduce the concept of a quasi-radical semi prime submodule. Throughout this work, we assume that is a commutative ring with identity and is a left unitary R- module. A proper submodule of is called a quasi-radical semi prime submodule (for short Q-rad-semiprime), if for , ,and then . Where is the intersection of all prime submodules of .