A variant of the proof of Van der Waerden's theorem by Furstenberg
Yıl: 2021 Cilt: 70 Sayı: 2 Sayfa Aralığı: 1065 - 1072 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.901214 İndeks Tarihi: 29-07-2022
A variant of the proof of Van der Waerden's theorem by Furstenberg
Öz: 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 thiskind of metric to obtain a variant of the proof of Van der Waerden's theorem by Furstenberg [3].
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Birkhoff, G.D., Dynamical Systems, Math. Soc. Coll. Publ., vol 9, Amer. Math. Soc., Providence RI, 1927. https://doi.org/http://dx.doi.org/10.1090/coll/009
- [2] Engelking, R., General Topology, Second Edition, Heldermann Verlag, Berlin, 1989.
- [3] Furstenberg, H., Poincare recurrence and number theory, Bull. of the A. Math. Soc., 5 (3) (1981), 211–234.
- [4] Furstenberg, H., Recurrence in Ergodic Theory and Combinatorial Number, Princeton University Press, Princeton, New Jersey, 1981.
- [5] Van der Waerden, B.L., Beweis einer baudetschen vermutung, Nieuw Arch. Wisk., 15 (1927), 212–216
| APA | EYİDOĞAN S, Özkurt A (2021). A variant of the proof of Van der Waerden's theorem by Furstenberg. , 1065 - 1072. 10.31801/cfsuasmas.901214 |
| Chicago | EYİDOĞAN SADIK,Özkurt Ali Arslan A variant of the proof of Van der Waerden's theorem by Furstenberg. (2021): 1065 - 1072. 10.31801/cfsuasmas.901214 |
| MLA | EYİDOĞAN SADIK,Özkurt Ali Arslan A variant of the proof of Van der Waerden's theorem by Furstenberg. , 2021, ss.1065 - 1072. 10.31801/cfsuasmas.901214 |
| AMA | EYİDOĞAN S,Özkurt A A variant of the proof of Van der Waerden's theorem by Furstenberg. . 2021; 1065 - 1072. 10.31801/cfsuasmas.901214 |
| Vancouver | EYİDOĞAN S,Özkurt A A variant of the proof of Van der Waerden's theorem by Furstenberg. . 2021; 1065 - 1072. 10.31801/cfsuasmas.901214 |
| IEEE | EYİDOĞAN S,Özkurt A "A variant of the proof of Van der Waerden's theorem by Furstenberg." , ss.1065 - 1072, 2021. 10.31801/cfsuasmas.901214 |
| ISNAD | EYİDOĞAN, SADIK - Özkurt, Ali Arslan. "A variant of the proof of Van der Waerden's theorem by Furstenberg". (2021), 1065-1072. https://doi.org/10.31801/cfsuasmas.901214 |
| APA | EYİDOĞAN S, Özkurt A (2021). A variant of the proof of Van der Waerden's theorem by Furstenberg. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70(2), 1065 - 1072. 10.31801/cfsuasmas.901214 |
| Chicago | EYİDOĞAN SADIK,Özkurt Ali Arslan A variant of the proof of Van der Waerden's theorem by Furstenberg. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70, no.2 (2021): 1065 - 1072. 10.31801/cfsuasmas.901214 |
| MLA | EYİDOĞAN SADIK,Özkurt Ali Arslan A variant of the proof of Van der Waerden's theorem by Furstenberg. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.70, no.2, 2021, ss.1065 - 1072. 10.31801/cfsuasmas.901214 |
| AMA | EYİDOĞAN S,Özkurt A A variant of the proof of Van der Waerden's theorem by Furstenberg. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(2): 1065 - 1072. 10.31801/cfsuasmas.901214 |
| Vancouver | EYİDOĞAN S,Özkurt A A variant of the proof of Van der Waerden's theorem by Furstenberg. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2021; 70(2): 1065 - 1072. 10.31801/cfsuasmas.901214 |
| IEEE | EYİDOĞAN S,Özkurt A "A variant of the proof of Van der Waerden's theorem by Furstenberg." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 70, ss.1065 - 1072, 2021. 10.31801/cfsuasmas.901214 |
| ISNAD | EYİDOĞAN, SADIK - Özkurt, Ali Arslan. "A variant of the proof of Van der Waerden's theorem by Furstenberg". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 70/2 (2021), 1065-1072. https://doi.org/10.31801/cfsuasmas.901214 |
