%0 Journal Article
%T On generalized topological molecular lattices
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Nazari, Narges
%A Mirhosseinkhani, Ghasem
%D 2018
%\ 04/01/2018
%V 10
%N 1
%P 1-15
%! On generalized topological molecular lattices
%K Topological molecular lattice
%K Generalized Topological molecular lattice
%K Generalized order homomorphism
%K Separation axiom
%R 10.22130/scma.2017.27148
%X In 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.
%U https://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf