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

Published 11 Oct 2022 in math.RA and math.KT | (2210.05554v1)

Abstract: In this article, we prove that if $R$ is an affine algebra of dimension $d\geq 4$ 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.

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