Rado equations solved by linear combinations of idempotent ultrafilters

We fully characterise the solvability of Rado equations inside linear combinations $a_{1}\U\oplus\dots\oplus a_{n}\U$ of idempotent ultrafilters $\U\in\beta\Z$ by exploiting known relations between such combinations and strings of integers. This generalises a partial characterization previously...

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Veröffentlicht in:	arXiv.org 2021-11
Hauptverfasser:	Lorenzo Luperi Baglini, Arruda, Paulo Henrique
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Sprache:	eng
Schlagworte:	Mathematical analysis Mathematics - Combinatorics Mathematics - Logic
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creator	Lorenzo Luperi Baglini Arruda, Paulo Henrique
description	We fully characterise the solvability of Rado equations inside linear combinations $a_{1}\U\oplus\dots\oplus a_{n}\U$ of idempotent ultrafilters $\U\in\beta\Z$ by exploiting known relations between such combinations and strings of integers. This generalises a partial characterization previously obtained by Mauro Di Nasso.
doi_str_mv	10.48550/arxiv.2011.13722
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subjects	Mathematical analysis Mathematics - Combinatorics Mathematics - Logic
title	Rado equations solved by linear combinations of idempotent ultrafilters
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