Abundance of Matrices In Gaussian Integers
Combinatorics
2020-10-21 v1
Abstract
In [HLS], N. Hindman, I. Leader and D. Strauss proved the abundance for a matrix with rational entries. In this paper we proved it for the ring of Gaussian integers. We showed the result when the matrix is taken with entries from \mathbb{Q}\left[i\right]. The main obstacle is in the field of complex numbers, no linear order relation exists. We overcome that in a tactful way.
Cite
@article{arxiv.2010.10305,
title = {Abundance of Matrices In Gaussian Integers},
author = {Aninda Chakraborty},
journal= {arXiv preprint arXiv:2010.10305},
year = {2020}
}
Comments
7 pages