Title of article :
On Semi-Essential Submodules
Author/Authors :
ahmed, muna a. university of baghdad - college of science for women - department of mathematics, iraq , abbas, maysaa r. university of baghdad - college of science for women - department of mathematics, Iraq
Abstract :
Let R be a commutative ring with identity and let M be a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of semi-essential submodules which introduced by Ali S. Mijbass and Nada K. Abdullah, and we make simple changes to the definition relate with the zero submodule, so we say that a submodule N of an R-module M is called semi-essential, if whenever N ∩ P = (0), then P = (0) for each prime submodule P of M. Various properties of semi-essential submodules are considered.
Keywords :
Essential submodules , Semi , essential submodules , Uniform modules , Semiuniform modules , Fully prime modules and Fully essential modules
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
