Operations preserving equivalence relations
Combinatorics
2017-06-01 v1
Abstract
In 2014, C\'egielski, Grigorieff and Guessarian characterized unary self-maps on the set 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.
Cite
@article{arxiv.1705.10890,
title = {Operations preserving equivalence relations},
author = {Maurice Pouzet},
journal= {arXiv preprint arXiv:1705.10890},
year = {2017}
}
Comments
14 pages