Publication detail
On bases of closure operators on complete lattices
ŠLAPAL, J.
English title
On bases of closure operators on complete lattices
Type
journal article in Web of Science
Language
en
Original abstract
We study closure operators on complete lattices and define for them the concepts of closed and open bases as well as that of a neighborhood base. Some properties of these concepts are studied including relationships between them. In particular, wefind sufficient conditions under which the properties are analogous to those known for topological spaces.
English abstract
We study closure operators on complete lattices and define for them the concepts of closed and open bases as well as that of a neighborhood base. Some properties of these concepts are studied including relationships between them. In particular, wefind sufficient conditions under which the properties are analogous to those known for topological spaces.
Keywords in English
Complete lattice, pseudocomplement, closure operator, closed base, open base, neighborhood base.
Released
03.04.2023
Publisher
Taylor & Francis
Location
Cape Town
ISSN
1607-3606
Volume
46
Number
4
Pages from–to
781–790
Pages count
10
BIBTEX
@article{BUT181573,
author="Josef {Šlapal},
title="On bases of closure operators on complete lattices ",
year="2023",
volume="46",
number="4",
month="April",
pages="781--790",
publisher="Taylor & Francis",
address="Cape Town",
issn="1607-3606"
}