Partition regularity of polynomial systems near zero

Recently, S. Kanti Patra and Md. Moid Shaikh proved the existence of monochromatic solutions to systems of polynomial equations near zero for particular dense subsemigroups ( S , + ) of ( R + , + ) . We extend their results to a much larger class of systems whilst weakening the requests on S , using...

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Veröffentlicht in:	Semigroup forum 2021-08, Vol.103 (1), p.191-208
1. Verfasser:	Luperi Baglini, Lorenzo
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Mathematics Mathematics and Statistics Polynomials Research Article
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description	Recently, S. Kanti Patra and Md. Moid Shaikh proved the existence of monochromatic solutions to systems of polynomial equations near zero for particular dense subsemigroups ( 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.
doi_str_mv	10.1007/s00233-021-10179-w
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subjects	Algebra Mathematics Mathematics and Statistics Polynomials Research Article
title	Partition regularity of polynomial systems near zero
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