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arXiv · 2005.03485

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

Sampat Sharma
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Abstract

In this article, we prove that if $R$ is a finitely generated ring over $\mathbb{Z}$ of dimension $d, d\geq2, \frac{1}{d!}\in R$, then any unimodular row over $R[X]$ of length $d+1$ can be mapped to a factorial row by elementary transformations.

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Sampat Sharma. 2026-03-26. On completion of unimodular rows over polynomial extension of finitely generated rings over $\mathbb{Z}$. https://arxiv.org/abs/2005.03485

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