Dynamical IP$^{\star}$-sets in weak rings
Combinatorics
2021-10-18 v1
Abstract
V. Bergelson and N. Hindman proved that IP- sets contain all possible finite sums and products of a sum subsystem of any sequence in . In a recent work the second author of this article has proved that a stronger result holds for dynamical IP- sets. In this article we will establish a non-commutative version of this result. We will prove that a richer configuration is contained in dynamical IP- sets in weak rings.
Cite
@article{arxiv.2110.08052,
title = {Dynamical IP$^{\star}$-sets in weak rings},
author = {Pintu Debnath and Sayan Goswami},
journal= {arXiv preprint arXiv:2110.08052},
year = {2021}
}