Open AccessR-annihilator-Coessential and R-annihilator-Coclosed Submodules
Author(s) -
Omar K. Ibrahim,
Alaa A. Elewi
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.4.14
Subject(s) - annihilator , mathematics , unitary state , ring (chemistry) , associative property , pure mathematics , algebra over a field , chemistry , political science , organic chemistry , law
Let be a unitary left R-module on associative ring with identity. A submodule of is called -annihilator small if , where is a submodule of , implies that ann( )=0, where ann( ) indicates annihilator of in . In this paper, we introduce the concepts of -annihilator-coessential and - annihilator - coclosed submodules. We give many properties related with these types of submodules.