On the Witt vectors of perfect rings in positive characteristic
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2014
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| _version_ | 1866914373345214464 |
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| author | Shimomoto, Kazuma |
| author_facet | Shimomoto, Kazuma |
| contents | The purpose of this article is to prove some results on the Witt vectors of perfect $\mathbf{F}_p$-algebras. Let $A$ be a perfect $\mathbf{F}_p$-algebra for a prime integer $p$ and assume that $A$ has the property $\mathbf{P}$. Then does the ring of Witt vectors of $A$ also have $\mathbf{P}$? A main theorem gives an affirmative answer for $\mathbf{P}="\mbox{integrally closed}"$ under a very mild condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1404_5147 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | On the Witt vectors of perfect rings in positive characteristic Shimomoto, Kazuma Commutative Algebra The purpose of this article is to prove some results on the Witt vectors of perfect $\mathbf{F}_p$-algebras. Let $A$ be a perfect $\mathbf{F}_p$-algebra for a prime integer $p$ and assume that $A$ has the property $\mathbf{P}$. Then does the ring of Witt vectors of $A$ also have $\mathbf{P}$? A main theorem gives an affirmative answer for $\mathbf{P}="\mbox{integrally closed}"$ under a very mild condition. |
| title | On the Witt vectors of perfect rings in positive characteristic |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/1404.5147 |