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The stable rank of $\mathbb{Z}[x]$ is $3$ - MaRDI portal

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The stable rank of $\mathbb{Z}[x]$ is $3$

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Publication:6504762

arXiv2111.02965MaRDI QIDQ6504762

Author name not available (Why is that?)


Abstract: Grunewald, Mennicke and Vaserstein proved that the Bass stable rank of mathbbZ[x], the ring of the univariate polynomials over mathbbZ, is 3. This note addresses minor errors found in their proof. Using their method, we show in addition that the unimodular row (1+x,12,x2+16) is not stable.





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