Title : A characterization of barycentrically preassociative functions
Language : English
Author, co-author : 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 : Feb-2016
Journal title : Results in Mathematics
Publisher : Springer - Birkhäuser
Volume : 69
Issue/season : 1
Pages : 245-256
Peer reviewed : Yes (verified by ORBi^{lu} )
Audience : International
ISSN : 1422-6383
e-ISSN : 1420-9012
City : Basel
Country : Switzerland
Keywords : [en] Associativity ; barycentric associativity ; barycentric preassociativity ; string functions ; functional equation ; axiomatization
Abstract : [en] We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization.
Funders : University of Luxembourg - UL
Target : Researchers ; Professionals ; Students
Permalink : http://hdl.handle.net/10993/22033
DOI : 10.1007/s00025-015-0501-z
Other URL : http://arxiv.org/abs/1410.0778