On completion of unimodular rows over polynomial extension of finitely generated rings over $\mathbb{Z}$
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866910074201440256 |
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| author | Sharma, Sampat |
| author_facet | Sharma, Sampat |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_03485 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On completion of unimodular rows over polynomial extension of finitely generated rings over $\mathbb{Z}$ Sharma, Sampat Commutative Algebra 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. |
| title | On completion of unimodular rows over polynomial extension of finitely generated rings over $\mathbb{Z}$ |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2005.03485 |