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A classification of bisymmetric polynomial functions over integral domains of characteristic zero

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Abstract

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.

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Authors and Affiliations

  1. Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, 1359, Luxembourg, Luxembourg

    Jean-Luc Marichal

  2. Department of Mathematics, University of Liège, Grande Traverse, 12-B37, 4000, Liège, Belgium

    Pierre Mathonet

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  1. Jean-Luc Marichal
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  2. Pierre Mathonet
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Correspondence to Jean-Luc Marichal.

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Marichal, JL., Mathonet, P. A classification of bisymmetric polynomial functions over integral domains of characteristic zero. Aequat. Math. 84, 125–136 (2012). https://doi.org/10.1007/s00010-012-0130-5

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  • DOI: https://doi.org/10.1007/s00010-012-0130-5

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