Article detail · 2021 · article
A VARIANT OF THE PROOF OF VAN DER WAERDEN'S THEOREM BY FURSTENBERG
Journal
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
ISSN1303-5991
YÖKSİS
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Abstract
Let R R be a commutative ring with identity. In this paper, for a given monotone decreasing positive sequence and an increasing sequence of subsets of R R , we will define a metric on R R using them. Then, we will use this kind of metric to obtain a variant of the proof of Van der Waerden's theorem by Furstenberg [3].
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