Topogenous orders and closure operators on posets

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dc.contributor.authorŠlapal, Josefcs
dc.contributor.authorRichmond, Tomcs
dc.contributor.authorIragi, Minanics
dc.coverage.issue3cs
dc.coverage.volume48cs
dc.date.accessioned2024-10-14T09:03:58Z
dc.date.available2024-10-14T09:03:58Z
dc.date.issued2024-05-10cs
dc.description.abstractWe introduce the notion of topogenous orders on a poset X to be certain endomaps on X. We build on a Galois connection between endomaps and binary relations on X and study relationships between endomap properties and corresponding relational properties. In particular, we determine the topogenous orders that are in a one-to-one correspondence with (idempotent) closure operators. Extending our considerations to the categorical level, we find a cartesian closed category of topogenous systems.en
dc.formattextcs
dc.format.extent469-476cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationTurkish Journal of Mathematics. 2024, vol. 48, issue 3, p. 469-476.en
dc.identifier.doi10.55730/1300-0098.3519cs
dc.identifier.issn1303-6149cs
dc.identifier.orcid0000-0001-8843-6842cs
dc.identifier.other188778cs
dc.identifier.researcheridK-2755-2015cs
dc.identifier.scopus6602234420cs
dc.identifier.urihttps://hdl.handle.net/11012/249517
dc.language.isoencs
dc.publisherTÜBITAKcs
dc.relation.ispartofTurkish Journal of Mathematicscs
dc.relation.urihttps://journals.tubitak.gov.tr/math/vol48/iss3/8/cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1303-6149/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectPoseten
dc.subjectmeet-complete semilatticeen
dc.subjecttopogenous orderen
dc.subjectclosure operatoren
dc.subjectcartesian closed categoryen
dc.titleTopogenous orders and closure operators on posetsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-188778en
sync.item.dbtypeVAVen
sync.item.insts2024.10.14 11:03:58en
sync.item.modts2024.09.20 13:32:09en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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