Result Details
On bases of closure operators on complete lattices
ŠLAPAL, J. On bases of closure operators on complete lattices. Quaestiones Mathematicae, 2023, vol. 46, no. 4, p. 781-790. ISSN: 1607-3606.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM DAAG (FME)
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
Complete lattice, pseudocomplement, closure operator, closed base, open base, neighborhood base.
URL
Published
2023
Pages
781–790
Journal
Quaestiones Mathematicae, vol. 46, no. 4, ISSN 1607-3606
Publisher
Taylor & Francis
Place
Cape Town
DOI
UT WoS
000779531000001
EID Scopus
BibTeX
@article{BUT181573,
author="Josef {Šlapal}",
title="On bases of closure operators on complete lattices",
journal="Quaestiones Mathematicae",
year="2023",
volume="46",
number="4",
pages="781--790",
doi="10.2989/16073606.2022.2041758",
issn="1607-3606",
url="https://www.tandfonline.com/doi/abs/10.2989/16073606.2022.2041758"
}
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