I-Nearly Prime Submodules

  • 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
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.

Published
2019-11-27
How to Cite
Abdul-AlKalik, A. J., & Al-Mothafar, N. S. (2019). I-Nearly Prime Submodules. Iraqi Journal of Science, 60(11), 2468-2472. https://doi.org/10.24996/ijs.2019.60.11.17
Section
Mathematics