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On Semi-Essential Submodules | ||
| Ibn Al-Haitham Journal For Pure And Applied Science | ||
| Article 1, Volume 28, Issue 1, 2015, Pages 179-185 | ||
| Authors | ||
| Muna A. Ahmed; Maysaa R. Abbas | ||
| 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; Uniform modules; Fully prime modules and Fully essential modules | ||
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