Title of article :
Essentially Quasi-Invertible Submodules and Essentially Quasi-Dedekind Modules
Author/Authors :
Hadi, I.M-A University of Baghdad - College of Education Ibn AL-Haitham - Department of Mathematics, Iraq , Ghawi, Th. Y. University of AL- Qadisiya - College of Education - Department of Mathematics, Iraq
Abstract :
Let R be a commutative ring with identity . In this paper we study the concepts of essentially quasi-invertible submodules and essentially quasi-Dedekind modules as a generalization of quasi-invertible submodules and quasi-Dedekind modules . Among the results that we obtain is the following : M is an essentially quasi-Dedekind module if and only if M is aK-nonsingular module,where a module M is K-nonsingular if, for each f є End R(M) , Kerf ≤e M implies f = 0 .
Keywords :
Essentially quasi , invertible submodules , Essentially quasi , Dedekind M odules .
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
