论文标题
美元
$\mathbf{A}_{\text {inf}}$ has uncountable Krull dimension
论文作者
论文摘要
令$ \ Mathcal {o} _e $成为一个完整的离散估值戒指，$ r $是特征$ p $的完美戒指，我们还假设$ r $是一个完整的估值戒指，其估值组是一级和非差异，我们证明了环$ w _ {\ Mathcal {\ Mathcal {\ Mathcal {\ o） $ \ MATHCAL {O} _e $ -Witt vectors $ r $至少是连续体的基数。
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.
