Year: 2021
Type: preprint
Abstract: V. Bergelson and N. Hindman proved that IP$^{\star}$- sets contain all possible finite sums and products of a sum subsystem of any sequence in $\mathbb{N}$. In a recent work the second author of this article has proved that a stronger result holds for dynamical IP$^{\star}$- 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$^{\star}$- sets in weak rings.
Source: arXiv (Cornell University)
Authors: Debnath, Pintu, Goswami, Sayan
Institutions: Basirhat College, University of Kalyani
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3205728215