A classification of barycentrically associative polynomial functions
Jean-Luc Marichal, Pierre Mathonet, J\"org Tomaschek
TL;DR
This paper classifies polynomial functions that are barycentrically associative over an infinite commutative integral domain, expanding understanding of their algebraic structure and properties.
Contribution
It provides a complete classification of barycentrically associative polynomial functions in the specified algebraic setting.
Findings
Characterization of barycentrically associative polynomial functions
Identification of structural properties over infinite commutative integral domains
Extension of associative polynomial function theory
Abstract
We describe the class of polynomial functions which are barycentrically associative over an infinite commutative integral domain.
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