Article (Scientific journals)
Conservative median algebras and semilattices
Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno
2016In Order: A Journal on the Theory of Ordered Sets and its Applications, 33 (1), p. 121-132
Peer reviewed
 

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Keywords :
Median algebra; Median homomorphism; Median semilattice; Forbidden substructure; Median graph; Conservative median algebra
Abstract :
[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 :
Mathematics
Author, co-author :
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
External co-authors :
yes
Language :
English
Title :
Conservative median algebras and semilattices
Publication date :
March 2016
Journal title :
Order: A Journal on the Theory of Ordered Sets and its Applications
ISSN :
1572-9273
Publisher :
Springer, Dordrecht, Germany
Volume :
33
Issue :
1
Pages :
121-132
Peer reviewed :
Peer reviewed
Name of the research project :
R-AGR-0500-1 > MRO3 > 01/03/2015 - 28/02/2018 > MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 30 April 2015

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