On Panja-Prasad conjecture

2023/06/26 by Chen, Qian
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2306.15118

Abstract

In the present paper we shall investigate the Waring's problem for upper triangular matrix algebras. The main result is the following: Let n≥ 2 and m≥ 1 be integers. Let p(x₁,…,x_m) be a noncommutative polynomial with zero constant term over an infinite field K. Let T_n(K) be the set of all n× n upper triangular matrices over K. Suppose 1

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