I-Nearly Prime Submodules

Adwia J. Abdul-AlKalik; Nuhad S. Al-Mothafar

doi:10.24996/ijs.2019.60.11.17

I-Nearly Prime Submodules

Authors

Adwia J. Abdul-AlKalik Republic of Iraq, Ministry of Education, Directorate General of Education In Diyala
Nuhad S. Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.11.17

Keywords:

Prime submodules, nearly prime submodules, I-prime submodules

Abstract

Let be a commutative ring with identity, and a fixed ideal of and be an unitary -module. In this paper we introduce and study the concept of -nearly prime submodules as genrealizations of nearly prime and we investigate some properties of this class of submodules. Also, some characterizations of -nearly prime submodules will be given.