Title of article :
ON STRONGLY PRIME SUBMODULES
Author/Authors :
Naoum, A. G. University of Baghdad - College of Science - Department of Mathematics, Iraq , Hadi, I. M. A. University of Baghdad - Ibn al-Haitham college of Education - Department of Mathematics, Iraq
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.
Keywords :
submodules , implies x ∈ P or y ∈ P. , SUBMODULES
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science
