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A module whose second spectrum has the surjective or injective natural map

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Abstract (2. Language): 
Let R be a commutative ring and M be an R-module. Let Specs(M) be the set of all second submodules of M. In this article, we topologize Specs(M) with Zariski and classical Zariski topologies and study the classes of all modules whose second spectrum have the surjective or injective natural map. Moreover, we investigate the interplay between the algebraic properties of M and the topological properties of Specs (M).
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