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arXiv · 1404.5147

On the Witt vectors of perfect rings in positive characteristic

Kazuma Shimomoto
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Abstract

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.

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Kazuma Shimomoto. 2014-04-21. On the Witt vectors of perfect rings in positive characteristic. https://doi.org/10.1080/00927872.2014.974259

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