Title of article :
On primary isolated submodules
Author/Authors :
Ahmed, Ghaleb Department of Mathematics - College of Education for Pure Science, Ibn-Al-Haitham - University of Baghdad, Baghdad, Iraq , Alshareef, Tamara Department of Mathematics - College of Education for Pure Science, Ibn-Al-Haitham - University of Baghdad, Baghdad, Iraq
Abstract :
Let L be a left module over a ring S with identity. In this paper, the concept of primary isolated submodules is introduced. We look for relations between this class of submodules and related modules. A number of facts and characterizations that concern is gained. The aim of this work is to introduce and study the primary isolated submodules as a generalization of isolated submodules. A submodule A of L is primary isolated if for each proper B of A, there is a primary submodule C of L, B⊆C but A⊈C. Some properties are gained and we look for any relationship between this type of modules and other related modules.
Keywords :
Primary isolated submodules , Primary lifted submodules , Primary radical submodules , Primary submodules , Prime submodules
Journal title :
International Journal of Nonlinear Analysis and Applications
