Reference : Conservative median algebras and semilattices
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/20934
Conservative median algebras and semilattices
English
Couceiro, Miguel mailto [Université de Lorraine, Nancy, France > LORIA (CNRS - Inria Nancy Grand Est)]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Teheux, Bruno mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Mar-2016
Order : A Journal on the Theory of Ordered Sets and its Applications
Springer
33
1
121-132
Yes
International
0167-8094
1572-9273
Dordrecht
Germany
[en] Median algebra ; Median homomorphism ; Median semilattice ; Forbidden substructure ; Median graph ; Conservative median algebra
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/20934
10.1007/s11083-015-9356-x
http://arxiv.org/abs/1405.0935

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