$\mathbf{A}_{\text {inf}}$ has uncountable Krull dimension
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909967866396672 |
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| author | Du, Heng |
| author_facet | Du, Heng |
| contents | Let $\mathcal{O}_E$ be a complete discrete valuation ring and $R$ be a perfect ring in characteristic $p$, we also assume $R$ is a complete valuation ring whose valuation group is of rank one and non-discrete, we prove the Krull dimension of the ring $W_{\mathcal{O}_E}(R)$ of $\mathcal{O}_E$-Witt vectors over $R$ is at least the cardinality of the continuum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_10358 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | $\mathbf{A}_{\text {inf}}$ has uncountable Krull dimension Du, Heng Number Theory Commutative Algebra Let $\mathcal{O}_E$ be a complete discrete valuation ring and $R$ be a perfect ring in characteristic $p$, we also assume $R$ is a complete valuation ring whose valuation group is of rank one and non-discrete, we prove the Krull dimension of the ring $W_{\mathcal{O}_E}(R)$ of $\mathcal{O}_E$-Witt vectors over $R$ is at least the cardinality of the continuum. |
| title | $\mathbf{A}_{\text {inf}}$ has uncountable Krull dimension |
| topic | Number Theory Commutative Algebra |
| url | https://arxiv.org/abs/2002.10358 |