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In this paper we take a natural homomorphism where U is an R-Algebra , R=CenU and M , N are any two R-modules.Here we have shown that 1. If P is any projective module then f P is a monomorphism. 2. If G be any generator then f ) is an isomorphism then f M is an isomorphism.doi:10.6084/m9.figshare.1400451.v1 fatcat:tkkq6b6b7fgttbvlkrhpdwspqy