On Quasi-Small Prime Submodules

Wisam A. Ali; Nuhad S. Al.  Mothafar

doi:10.24996/ijs.2022.63.4.26

On Quasi-Small Prime Submodules

Authors

Wisam A. Ali Department of Mathematics, College of Science, University of Baghdad, Iraq
Nuhad S. Al. Mothafar Department of Mathematics, College of Science, University of Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.4.26

Keywords:

Prime submodules, quasi-prime submodules, small prime submodules, quasi- small prime submodules

Abstract

Let be a commutative ring with identity , and be a unitary (left) R-module. A proper submodule of is said to be quasi- small prime submodule , if whenever with and , then either or . In this paper ,we give a comprehensive study of quasi- small prime submodules.