TY - JOUR
ID - 27148
TI - On generalized topological molecular lattices
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Nazari, Narges
AU - Mirhosseinkhani, Ghasem
AD - Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
AD - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
Y1 - 2018
PY - 2018
VL - 10
IS - 1
SP - 1
EP - 15
KW - Topological molecular lattice
KW - Generalized Topological molecular lattice
KW - Generalized order homomorphism
KW - Separation axiom
DO - 10.22130/scma.2017.27148
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_27148.html
L1 - https://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf
ER -