Rado equations solved by linear combinations of idempotent ultrafilters

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
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Mathematics - Combinatorics
Mathematics - Logic
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2011.13722