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Scientific Research Journal of Engineering and Computer Sciences

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ISSN (Print) : 2788-9394

ISSN (Online) : 2788-9408

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Nada K. Abdullah

Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Iraq

nada.khalid@tu.edu.iq

1 Publication

Research Article Open Access

Nearly Maximal Projective Modules

Nada K. Abdullah,

Summer W. Omar

DOI: https://doi.org/10.47310/srjecs.2023.v03i02.014

Pages 1 - 5

Abstract

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All rings in this work are right ring and all modules is right module(mod) X over a ring R. A mod X is said to be nearly maximal projective (for short; Ner.Mx.Pro.Mod)) if ∀ epimorphism(Epi) θ:R→R/E where E is a nearly maximal(mx) ideal of R and ∀ homomorphism(Hom) Ψ:X→R/E, ∃ a Hom ɸ:X→R s.t. θɸ=Ψ. We characterized some classes of rings whose injective(Inj) mods are Ner.Mx.Pro.Mod.