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A description of n-ary semigroups polynomial-derived from integral domains

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Abstract

We provide a complete classification of the n-ary semigroup structures defined by polynomial functions over infinite commutative integral domains with identity, thus generalizing Głazek and Gleichgewicht’s classification of the corresponding ternary semigroups.

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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 & Pierre Mathonet

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

Additional information

Communicated by Mikhail Volkov.

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Marichal, JL., Mathonet, P. A description of n-ary semigroups polynomial-derived from integral domains. Semigroup Forum 83, 241–249 (2011). https://doi.org/10.1007/s00233-011-9295-9

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  • DOI: https://doi.org/10.1007/s00233-011-9295-9

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