ON STRONGLY PRIME SUBMODULES

A.   Naoum; I.    Hadi

doi:10.24996/ijs.2009.50.Appendix.%g

ON STRONGLY PRIME SUBMODULES

Authors

A. Naoum department of mathematics, college of Science, university of Baghdad. Baghdad- Iraq
I. Hadi *department of mathematics, Ibn al-Haitham college of Education, university of Baghdad. Baghdad- Iraq

DOI:

https://doi.org/10.24996/ijs.2009.50.Appendix.%25g

Keywords:

STRONGLY, SUBMODULES

Abstract

Let R be an integral domain with quotient field K. A prime ideal P of R is called
a strongly prime ideal of R if for each x, y ∈ K, x y ∈ P implies x ∈ P or y ∈ P. In
this paper, we generalize this concept to submodules, thus we define strongly prime
submodules and give some of their properties.