On completion of unimodular rows over polynomial extension of finitely generated rings over $\mathbb{Z}$

Abstract

In this article, we prove that if $R$ is a finitely generated ring over $\mathbb{Z}$ of dimension $d,d\ge 2,\frac{1}{d!}\in R$, then any unimodular row over $R[X]$ of length $d+1$ can be mapped to a factorial row by elementary transformations.

arXiv admin note: substantial text overlap with arXiv:2001.05816