Matrices over commutative rings as sum of higher powers

2022/04/02 by Kunlathida Muangma, Muangma, Kunlathida, Kijti Rodtes +1
Engineering · Computer Science · Mathematics · #graph theory and CDMA systems #Matrix Theory and Algorithms #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2204.00924

Abstract

On the Waring's problems for matrices over a commutative ring, there are some trace conditions provided for matrices eligibly expressed as a sum of k-th powers with k=2,3,4,5,6,7,8 in several literatures. In this paper, we provide the similar conditions for matrices written as a sum of k-th powers with k=9,10,11,12,13,14,15,16.

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