embedding module

The notions of quasi-prime submodules and developed Zariski topology was introduced by the present authors in \cite{ah10}. In this paper we use these notions to define a scheme. For an R-module M, let X:={Q∈q\Spec(M)∣(Q:RM)∈\Spec(R)}. It is proved that (X,OX) is a locally ringed space. We study the morphism of locally ringed spaces induced by R-homomorphism M→N, and also by ring homomorphism R→S. Among other results, we show that (X,OX) is a scheme by putting some suitable conditions on M.