A classification of barycentrically associative polynomial functions

Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg

doi:10.1007/s00010-014-0332-0

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A classification of barycentrically associative polynomial functions

Marichal, Jean-Luc; Mathonet, Pierre; Tomaschek, Jörg

2015 • In Aequationes Mathematicae, 89 (5), p. 1281-1291

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/174500

DOI
10.1007/s00010-014-0332-0

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Keywords :

Barycentric associativity; decomposability; polynomial function; integral domain

Abstract :

[en] We describe the class of polynomial functions which are barycentrically associative over an infinite commutative integral domain.

Disciplines :

Mathematics

Author, co-author :

Marichal, Jean-Luc; University of Luxembourg - UL > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit

Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Géométrie différentielle

Tomaschek, Jörg; University of Luxembourg - UL > Faculty of Science, Technology and Communication (FSTC) > Mathematics research unit

Language :

English

Title :

A classification of barycentrically associative polynomial functions

Publication date :

October 2015

Journal title :

Aequationes Mathematicae

ISSN :

0001-9054

eISSN :

1420-8903

Publisher :

Springer, Basel, Switzerland

Volume :

Issue :

Pages :

1281-1291

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://arxiv.org/abs/1405.3597

Funders :

Unilu - Université du Luxembourg

Available on ORBi :

since 28 November 2014

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