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In this paper we study some frames associated to an $R$-module $M$. We definesemiprimitive submodules and we prove that they form an spatial framecanonically isomorphic to the topology of $Max(M)$. We characterize thesoberness of $Max(M)$ in terms of the point space of that frame. Beside ofthis, we study the regularity of an spatial frame associated to $M$ given byannihilator conditions.

Attaching topological spaces to a module (I): Sobriety and spatial frames of submodules