Ceken, Secil2024-06-122024-06-1220221578-73031579-1505https://doi.org/10.1007/s13398-022-01316-3https://hdl.handle.net/20.500.14551/23990Let R be a commutative ring with identity, S be a multiplicatively closed subset of R. A submodule N of an R-module M with ann(R)(N) boolean AND S = empty set is called an S-second submodule of M if there exists a fixed s is an element of S, and whenever rN subset of K, where r is an element of R and K is a submodule of M, then either rsN = 0 or sN subset of K. The set of all S-second submodules of M is called S-second spectrum of M and denoted by S-Specs (M). In this paper, we construct and study two topologies on S-Spec(s) (M). We investigate some connections between algebraic properties of M and topological properties of S-Spec(s) (M) such as seperation axioms, compactness, connectedness and irreducibility.en10.1007/s13398-022-01316-3info:eu-repo/semantics/closedAccessS-Second SubmoduleS-Cotop ModuleS-Dual Quasi-Zariski TopologyS-Dual Zariski TopologyDual NotionArticle1164Q1WOS:0008463935000012-s2.0-85136707432Q1