Data di Pubblicazione:
2021
Citazione:
Partition regularity of polynomial systems near zero / L. Luperi Baglini. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - 103:1(2021 Aug), pp. 191-208. [10.1007/s00233-021-10179-w]
Abstract:
In a recent paper, Kanti Patra and Moid Shaik proved the existence of monochromatic solutions to certain systems of polynomial equations near zero for particulars dense subsemigroups $S$ of $((0,infty),+)$. We extend their results to a much larger class of equations, whilst weakening the requests on $S$.
Recently, S. Kanti Patra and Md. Moid Shaikh proved the existence of monochromatic solutions to systems of polynomial equations near zero for particular dense subsemi-groups (S, +) of (R+, +). We extend their results to a much larger class of systems whilst weakening the requests on S, using solely basic results about ultrafilters.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
partition regularity, ultrafilters, semigroups, infinitesimals;
Elenco autori:
L. Luperi Baglini
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