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The stable rank of $\mathbb{Z}[x]$ is $3$ (2111.02965v4)
Published 4 Nov 2021 in math.AC
Abstract: Grunewald, Mennicke and Vaserstein proved that the Bass stable rank of $\mathbb{Z}[x]$, the ring of the univariate polynomials over $\mathbb{Z}$, is $3$. This note addresses minor errors found in their proof. Using their method, we show in addition that the unimodular row $(3, x + 1, x2 + 16)$ is not stable.
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