Some Results on Weak Essential Submodules | ||
| Baghdad Science Journal | ||
| Article 1, Volume 13, Issue 3, September 2016, Pages 599-606 | ||
| Author | ||
| Muna Abbas Ahmed | ||
| Abstract | ||
| Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ∩ P ≠ (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered. | ||
| Keywords | ||
| Semiprime submodule; Essential submodules; Weak essential submodules; Weak uniform modules; Fully semi; semiprime modules and Fully essential | ||
|
Statistics Article View: 163 PDF Download: 43 |
||