Title of article :
Strongly Essentially Quasi-Dedekind Modules
Author/Authors :
Hadi, I. M.A. University of Baghdad - College of Education Ibn-Al-Haitham - Department of Mathematics, Iraq , Ghawi, T.Y. University of Al-Qadisiya - College of Education - Department of Mathematics, Iraq
Abstract :
Let R be a commutative ring with unity . In this paper we introduce and study the concept of strongly essentially quasi-Dedekind module as a generalization of essentially quasi- Dedekind module. A unitary R-module M is called a strongly essentially quasi-Dedekind module if Hom(M N,M ) =0 for all semiessential submodules N of M. Where a submodule N of an R-module M is called semiessential if , N∩ p ≠ 0 for all nonzero prime submodules P of M .
Keywords :
Essentially quasi , Dedekind Modules , Strongly essentially quasi , Dedekind Modules, Semiessential submodules, M ultiplication Modules.
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
