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07 February 2025
 
  » arxiv » 1609.0279

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Characterization ofn-associative, monotone,idempotent functions on an interval which haveneutral elements
Gergely Kiss ; Gábor Somlai ;
Date 1 Sep 2016
AbstractWe investigate monotone idempotent $n$-ary semigroups. One of the main result of this article is the generalisation of Czogala-Drewniak Theorem, which describes the idempotent monotone associative functions having neutral element. Furthermore we present the full characterisation of idempotent, monotone, $n$-associative functions on an interval which have neutral elements. %{l defined}. Our description provides that monotone, idempotent, $n$-ary semigroups are quasitrivial.
Source arXiv, 1609.0279
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