Operations preserving equivalence relations
classification
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keywords
additivealgebracharacterizedcongruencesegielskiequivalenceframegrigorieff
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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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