Reference : A characterization of barycentrically preassociative functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/22033
A characterization of barycentrically preassociative functions
English
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 >]
Feb-2016
Results in Mathematics
Springer - Birkhäuser
69
1
245-256
Yes (verified by ORBilu)
International
1422-6383
1420-9012
Basel
Switzerland
[en] Associativity ; barycentric associativity ; barycentric preassociativity ; string functions ; functional equation ; axiomatization
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/22033
10.1007/s00025-015-0501-z
http://arxiv.org/abs/1410.0778

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