Unimodular rows over affine algebras over algebraic closure of a finite field

Abstract

In this article, we prove that if $R$ is an affine algebra of dimension $d\ge 4$ over ${\overline{\mathbb{F}}}_p$ and $1/(d-1)!\in R,$ then any unimodular row over $R$ of length $d$ can be mapped to a factorial row by elementary transformations.

Journal of algebra and its applications, 2022