For any module M over a commutative ring R with identity, we consider Sch ( M ) as a certain class of prime submodules modulo the equivalence relation that two such prime submodules are the same if their colon ideals are equal. We topologize Sch ( M ) and introduce a sheaf O Sch ( M ) of commutative rings on it, which makes ( Sch ( M ) , O Sch ( M ) ) into a scheme. In particular, if M is a module over a Noetherian ring R, then ( Sch ( M ) , O Sch ( M ) ) is a locally Noetherian scheme. Among others, we give sufficient conditions for Sch ( M ) to be an affine scheme.