Some new multi-cell Ramsey theoretic results

We extend an old Ramsey Theoretic result which guarantees sums of terms from all partition regular linear systems in one cell of a partition of the set \mathbb{N} of positive integers. We were motivated by a quite recent result which guarantees a sequence in one set with all of its sums two or more...

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Veröffentlicht in:	Proceedings of the American Mathematical Society. Series B 2021-12, Vol.8 (30), p.358-370
Hauptverfasser:	Bergelson, Vitaly, Hindman, Neil
Format:	Artikel
Sprache:	eng
Schlagworte:	Research article
Online-Zugang:	Volltext
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