Abundance of Matrices In Gaussian Integers (2010.10305v1)

Published 18 Oct 2020 in math.CO

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.

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Authors (1)

Aninda Chakraborty

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