Quasi J-Regular Modules

Rafid M.  AL â€“ Shaiban; Nuhad S.  AL-Mothafar

doi:10.24996/ijs.2020.61.6.27

Authors

Rafid M. AL â€“ Shaiban Department of Mathematic, College of Science, University of Baghdad, Baghdad, Iraq
Nuhad S. AL-Mothafar Department of Mathematic, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.6.27

Keywords:

J-pure submodules, quasi J-pure submodules, J-regular modules, quasi J-regular modules

Abstract

Throughout this note, R is commutative ring with identity and M is a unitary R-module. In this paper, we introduce the concept of quasi J- submodules as a â€“ and give some of its basic properties. Using this concept, we define the class of quasi J-regular modules, where an R-module J- module if every submodule of is quasi J-pure. Many results about this concept