TY - JOUR TI - A variant of the proof of Van der Waerden's theorem by Furstenberg AB - 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]. AU - Özkurt, Ali Arslan AU - EYİDOĞAN, SADIK DO - 10.31801/cfsuasmas.901214 PY - 2021 JO - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics VL - 70 IS - 2 SN - 1303-5991 SP - 1065 EP - 1072 DB - TRDizin UR - http://search/yayin/detay/498989 ER -