Unimodular rows over affine algebras over algebraic closure of a finite field
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915910488424448 |
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| author | Sharma, Sampat |
| author_facet | Sharma, Sampat |
| contents | In this article, we prove that if $R$ is an affine algebra of dimension $d\geq 4$ over $\overline{\mathbb{F}}_{p}$ and $1/(d-1)! \in R,$ then any unimodular row over $R$ of length $d$ can be mapped to a factorial row by elementary transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_05554 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Unimodular rows over affine algebras over algebraic closure of a finite field Sharma, Sampat Rings and Algebras K-Theory and Homology 13C10 In this article, we prove that if $R$ is an affine algebra of dimension $d\geq 4$ over $\overline{\mathbb{F}}_{p}$ and $1/(d-1)! \in R,$ then any unimodular row over $R$ of length $d$ can be mapped to a factorial row by elementary transformations. |
| title | Unimodular rows over affine algebras over algebraic closure of a finite field |
| topic | Rings and Algebras K-Theory and Homology 13C10 |
| url | https://arxiv.org/abs/2210.05554 |