A variant of the proof of Van der Waerden's theorem by Furstenberg
| Autor: | EYİDOĞAN, Sadık, ÖZKURT, Ali Arslan |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Volume: 70, Issue: 2 1065-1072 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics |
| ISSN: | 1303-5991 2618-6470 |
| Popis: | Let RR be a commutative ring with identity. In this paper, for a given monotone decreasing positive sequence and an increasing sequence of subsets of RR, we will define a metric on RR 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]. |
| Databáze: | OpenAIRE |
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