Median algebra; Median homomorphism; Median semilattice; Forbidden substructure; Median graph; Conservative median algebra
Résumé :
[en] We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalence between median algebras and certain topological structures, we obtain descriptions of the median-preserving mappings between products of finitely many chains.
Disciplines :
Mathématiques
Auteur, co-auteur :
Couceiro, Miguel; Université de Lorraine, Nancy, France > LORIA (CNRS - Inria Nancy Grand Est)
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
TEHEUX, Bruno ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Conservative median algebras and semilattices
Date de publication/diffusion :
mars 2016
Titre du périodique :
Order: A Journal on the Theory of Ordered Sets and its Applications
