@article {
author = {Nazari, Narges and Mirhosseinkhani, Ghasem},
title = {On generalized topological molecular lattices},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {1-15},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.27148},
abstract = {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.},
keywords = {Topological molecular lattice,Generalized Topological molecular lattice,Generalized order homomorphism,Separation axiom},
url = {http://scma.maragheh.ac.ir/article_27148.html},
eprint = {http://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf}
}