Abstract
Let R be a commutative ring with identity and denote the set all second submodules of an R-module M. In this paper, we construct and study a sheaf of modules, denoted by , on equipped with the dual Zariski topology of M, where N is an R-module. We give a characterization of the sections of the sheaf in terms of the ideal transform module. We present some interrelations between algebraic properties of N and the sections of . We obtain some morphisms of sheaves induced by ring and module homomorphisms.
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