e*s-Ejective Module
DOI:
https://doi.org/10.29304/jqcsm.2026.18.32724Keywords:
e*_ essential submodule e*_singular essential submodule e*s-ejective module self e*s-ejective moduleAbstract
Let and be an -modules, will be called -e*s-ejective if for each submodule of and each homomorphism ,there exists ahomomorphism and ,such that , , We define e*s-Goldie-extending module if every e*s- closed sub-module of , there exists adirect summand of such that is e*s- essential in and , we prove properties of e*s-ejective module and present characterizations of this type of modules.
Downloads
References
H.R Baonon and W. khald, e*- essential submodule, Euro Pean Journal of Pure and Applled Mathematics Vol.15, No.1.2022, p224-228.
K. Goodearl, Ring Theory:Nonsingular Rings and Modules, Marcel,Dekker,New York,(1976)
F.Kasch, modules and rings, london , Academic, press,1982.
V. Erdogdu, Distributive Modules, Can. Math. Bull, 30, pp. 248-254, (1987).
A. Kabban, Wasan Khalid ,On e*-singular essential submodules,Journal of Theory, Mathematics and Physics، Vol. 5, No. 01, 2026 ISSN: 2181-4376.
A.G. Öscan, modules with small cyclic submodules in their injective hulls, comn, Algebra Vol 4, No3.2002, P.1575-1589.
A.G. Öscan, A.Harmanes and P.F. Smith Duo modules, Glasgaw math J. 48(2006). P:533-545.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Mustafa Kareem Mashre, Wasan Khalid
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
