English

Matrices over commutative rings as sum of higher powers

Rings and Algebras 2022-04-05 v1

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 kk-th powers with k=2,3,4,5,6,7,8k=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 kk-th powers with k=9,10,11,12,13,14,15,16k=9,10,11,12,13,14,15,16.

Keywords

Cite

@article{arxiv.2204.00924,
  title  = {Matrices over commutative rings as sum of higher powers},
  author = {Kunlathida Muangma and Kijti Rodtes},
  journal= {arXiv preprint arXiv:2204.00924},
  year   = {2022}
}