Operations preserving equivalence relations

Published 30 May 2017 in math.CO | (1705.10890v1)

Abstract: In 2014, C\'egielski, Grigorieff and Guessarian characterized unary self-maps on the set $\mathbb{Z}$ of integers which preserve all congruences of the additive group. In this note, we propose a shorter and straigthforward proof. We replace this result in the frame of universal algebra.

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Maurice Pouzet

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