Partition regularity of polynomial systems near zero

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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Zusammenfassung: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.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-021-10179-w