Author/Authors :
Naoum, A. G. University of Baghdad - College of Science - Department of Mathematics, Iraq , Hadi, Inaam M. A. University of Baghdad - Ibn - ALHaitham Education College - Department of Mathematics, Iraq
Abstract :
Let M be an R-module. where R is an integral domain with quotient field K .In this paper we introduce the concept of strongly primary submodule. where a submodule N of M is called strongly primary . if whenever r ε K .x ε M. rx ε N implies x ε N or r^n ε {N:M) for some n ε Z. . We study this concept and give some of its properties.