On bases of closure operators on complete lattices

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dc.contributor.authorŠlapal, Josefcs
dc.coverage.issue4cs
dc.coverage.volume46cs
dc.date.issued2023-04-03cs
dc.description.abstractWe 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.en
dc.formattextcs
dc.format.extent781-790cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationQuaestiones Mathematicae. 2023, vol. 46, issue 4, p. 781-790.en
dc.identifier.doi10.2989/16073606.2022.2041758cs
dc.identifier.issn1607-3606cs
dc.identifier.orcid0000-0001-8843-6842cs
dc.identifier.other181573cs
dc.identifier.researcheridK-2755-2015cs
dc.identifier.scopus6602234420cs
dc.identifier.urihttp://hdl.handle.net/11012/213668
dc.language.isoencs
dc.publisherTaylor & Franciscs
dc.relation.ispartofQuaestiones Mathematicaecs
dc.relation.urihttps://www.tandfonline.com/doi/abs/10.2989/16073606.2022.2041758cs
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1607-3606/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/cs
dc.subjectComplete latticeen
dc.subjectpseudocomplementen
dc.subjectclosure operatoren
dc.subjectclosed baseen
dc.subjectopen baseen
dc.subjectneighborhood base.en
dc.titleOn bases of closure operators on complete latticesen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-181573en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:48:55en
sync.item.modts2025.01.17 15:24:04en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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