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Mathematics: NEARLY PROJECTIVE MODULES

 

NEARLY PROJECTIVE MODULES

Dr.Adil G. Naonni, Nahad S. Al-Mothafar

Department of Mathematics, College of Science, University of Baghdad

ABSTRACT

Let R be a commutative ring with 1 ,and let P be a unitary R - module. We call P nearly projective module ,if for each epimorphism f.M> N and homomorphism g:P> N,there exists a homomorphism h:P> M such that (f.h-g) (a) ϵJ(N),V a ϵ P.

In the first part of this paper we give different characterizations of nearly projective modules. In the second part we study traces of nearly projective modules. In the third part we give some remarks on the ring of endomorphisms of nearly projective modules.


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