University of Guilan Journal of Algebra and Related Topics 2345-3931 2 1 2014 06 01 A scheme over quasi-prime spectrum of modules 65 77 61 EN A. Abbasi University of Guilan D. Hassanzadeh-Lelekaami University of Guilan Journal Article 2014 01 25 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 $X:=\{Q\in q\Spec(M) \mid (Q:_R M)\in\Spec(R)\}$. It is proved that $(X, \mathcal{O}_X)$ is a locally ringed space. We study the morphism of locally ringed spaces induced by $R$-homomorphism $M\rightarrow N$, and also by ring homomorphism $R\rightarrow S$. Among other results, we show that $(X, \mathcal{O}_X)$ is a scheme by putting some suitable conditions on $M$. Quasi Quasi-prime submodule prime submodule quasi-primeful module primeful module quasi-prime-embedding module developed Zariski topology prime embedding module https://jart.guilan.ac.ir/article_61_25bfba65b52ff4402f27084e6c3383e8.pdf