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A classification of bisymmetric polynomial functions over integral domains of characteristic zero
Marichal, Jean-Luc; Mathonet, Pierre
2012 • In Aequationes Mathematicae, 84 (1-2), p. 125-136
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https://hdl.handle.net/10993/1458
DOI
10.1007/s00010-012-0130-5
 

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Keywords :
Aczél's bisymmetry; mediality; polynomial function; integral domain
Abstract :
[en] We describe the class of n-variable polynomial functions that satisfy Aczél's bisymmetry property over an arbitrary integral domain of characteristic zero with identity.
Research center :
Mathematics Research Unit
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2012-763
Author, co-author :
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Mathonet, Pierre ;  University of Liège > Department of Mathematics
Language :
English
Title :
A classification of bisymmetric polynomial functions over integral domains of characteristic zero
Publication date :
September 2012
Journal title :
Aequationes Mathematicae
ISSN :
1420-8903
Publisher :
Springer, Basel, Switzerland
Volume :
84
Issue :
1-2
Pages :
125-136
Peer reviewed :
Peer Reviewed verified by ORBi
Additional URL :
http://arxiv.org/abs/1110.4490
Name of the research project :
F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 31/01/2015 > MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 14 May 2013

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