University of MaraghehSahand Communications in Mathematical Analysis2322-580710120180401On generalized topological molecular lattices1152714810.22130/scma.2017.27148ENNarges NazariDepartment of Mathematics, University of Hormozgan, Bandarabbas, Iran.Ghasem MirhosseinkhaniDepartment of Mathematics, Sirjan University of Technology, Sirjan, Iran.Journal Article20161220In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and define a closed element by the pseudocomplement of an open element. We have two structures on a completely distributive complete lattice, topology and generalized co-topology which are not dual to each other. We study the basic concepts, in particular separation axioms and some relations among them.http://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf