A sheaf on the second spectrum of a module
CitationCeken, S. , Alkan, M. (2018). A sheaf on the second spectrum of a module. Communications in Algebra, pp. 46(12) , 5487-5499.
Let R be a commutative ring with identity and Spec(5)(M) denote the set all second submodules of an R-module M. In this paper, we construct and study a sheaf of modules, denoted by O(N, M), on Spec(5)(M) equipped with the dual Zariski topology of M, where N is an R-module. We give a characterization of the sections of the sheaf O(N, M) in terms of the ideal transform module. We present some interrelations between algebraic properties of N and the sections of O(N, M). We obtain some morphisms of sheaves induced by ring and module homomorphisms.
SourceCommunications in Algebra