Detail výsledku

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.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM OAAG (FSI)
Abstrakt

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.

Klíčová slova

Complete lattice, pseudocomplement, closure operator, closed base, open base, neighborhood base.

URL
Rok
2023
Strany
781–790
Časopis
Quaestiones Mathematicae, roč. 46, č. 4, ISSN 1607-3606
Vydavatel
Taylor & Francis
Místo
Cape Town
DOI
10.2989/16073606.2022.2041758
UT WoS
000779531000001
EID Scopus
2-s2.0-85129167966
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"
}
Soubory
Pracoviště
Ústav matematiky (ÚM)
Nahoru