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Relational Galois connections between transitive digraphs: Characterization and construction

Tijdschriftbijdrage - Tijdschriftartikel

ThispaperfocusesonatwofoldrelationalgeneralizationofthenotionofGaloisconnec-tion.Itistwofoldbecauseitisdefinedbetweensetsendowedwitharbitrarytransitiverelationsand,moreover,bothcomponentsoftheconnectionarerelations,notnecessar-ilyfunctions.AcharacterizationtheoremofthenotionofrelationalGaloisconnectionisprovidedand,then,itisprovedthatasuitablenotionofclosurecanbeobtainedwithinthisframework.Finally,westateanecessaryandsufficientconditionthatallowstobuildarelationalGaloisconnectionstartingfromasingletransitivedigraphandasinglebinaryrelation.
Tijdschrift: Information Sciences
ISSN: 0020-0255
Volume: 519
Pagina's: 439 - 450
Jaar van publicatie:2020
Toegankelijkheid:Closed