Reference : Conservative median algebras and semilattices

	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/20934

Title :	Conservative median algebras and semilattices
Language :	English
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 >]
Publication date :	Mar-2016
Journal title :	Order: A Journal on the Theory of Ordered Sets and its Applications
Publisher :	Springer
Volume :	33
Issue/season :	1
Pages :	121-132
Peer reviewed :	Yes
Audience :	International
ISSN :	0167-8094
e-ISSN :	1572-9273
City :	Dordrecht
Country :	Germany
Keywords :	[en] 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.
Funders :	University of Luxembourg - UL
Name of the research project :	F1R-MTH-PUL-15MRO3 > MRO3 > 01/03/2015 - 28/02/2018 > MARICHAL Jean-Luc
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/20934
DOI :	10.1007/s11083-015-9356-x
Other URL :	http://arxiv.org/abs/1405.0935

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