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"
}