English

A characterization of barycentrically preassociative functions

Rings and Algebras 2016-01-22 v2

Abstract

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.

Cite

@article{arxiv.1410.0778,
  title  = {A characterization of barycentrically preassociative functions},
  author = {Jean-Luc Marichal and Bruno Teheux},
  journal= {arXiv preprint arXiv:1410.0778},
  year   = {2016}
}
R2 v1 2026-06-22T06:12:18.297Z