Open AccessSome Results on Weak Essential Submodules
Author(s) -
Baghdad Science Journal
Publication year - 2016
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.13.3.599-606
Subject(s) - mathematics , unitary state , commutative ring , pure mathematics , semiprime ring , semiprime , commutative property , ring (chemistry) , identity (music) , discrete mathematics , combinatorics , prime (order theory) , physics , chemistry , law , organic chemistry , political science , acoustics
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.