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arXiv · 2402.09053

Cartesian products of two $CR$ sets

Sayan Goswami
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Abstract

The notions of CR set is intimately related with the generalized van der Waerden's theorem. In this article, we prove the product of two CR sets is again a CR set. This answers [Question 4.2., N. Hindman, H. Hosseini, D. Strauss, and M. Tootkaboni: Combinatorially rich sets in arbitrary semigroups, Semigroup Forum, 107 (2023), 127-143.] . We use combinatorial arguments to prove our result.

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Sayan Goswami. 2024-06-16. Cartesian products of two $CR$ sets. https://arxiv.org/abs/2402.09053

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