Rado equations solved by linear combinations of idempotent ultrafilters
Combinatorics
2021-11-04 v3 Logic
Abstract
We fully characterise the solvability of Rado equations inside linear combinations of idempotent ultrafilters by exploiting known relations between such combinations and strings of integers. This generalises a partial characterization previously obtained by Mauro Di Nasso.
Cite
@article{arxiv.2011.13722,
title = {Rado equations solved by linear combinations of idempotent ultrafilters},
author = {Lorenzo Luperi Baglini and Paulo Henrique Arruda},
journal= {arXiv preprint arXiv:2011.13722},
year = {2021}
}