2-Quasi-prime modules

Fatima Dhiyaa Jasem; Alaa A. Elewi

doi:10.24996/ijs.2023.64.9.31

Authors

Fatima Dhiyaa Jasem Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Alaa A. Elewi Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.9.31

Keywords:

quasi-prime module, 2-quasi-prime module, 2-quasi-prime submodule, 2-prime module

Abstract

We introduce in this paper, the notion of a 2-quasì-prime module as a generalization of quasi-prime module, we know that a module E over a ring R is called quasi-prime module, if (0) is quasi-prime submodule. Now, we say that a module E over ring R is a 2-quasi-prime module if (0) is 2-quasi-prime submodule, a proper submodule K of E is 2-quasi-prime submodule if whenever , and , then either or .

Many results about these kinds of modules are obtained and proved, also, we will give a characterization of these kinds of modules.