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
From page
179
To page
185
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
Record number
2602511
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