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IS INFINITE DIMENSIONAL
Journal of the Institute of Mathematics of Jussieu ( IF 0.9 ) Pub Date : 2020-05-11 , DOI: 10.1017/s1474748020000201 Jaclyn Lang , Judith Ludwig
Journal of the Institute of Mathematics of Jussieu ( IF 0.9 ) Pub Date : 2020-05-11 , DOI: 10.1017/s1474748020000201 Jaclyn Lang , Judith Ludwig
Given a perfect valuation ring $R$ of characteristic $p$ that is complete with respect to a rank-1 nondiscrete valuation, we show that the ring $\mathbb{A}_{\inf }$ of Witt vectors of $R$ has infinite Krull dimension.
中文翻译:
是无限维度的
给定一个完美的估值环$R$ 有特色的$p$ 就 rank-1 非离散估值而言是完整的,我们证明了环$\mathbb{A}_{\inf }$ 的 Witt 向量$R$ 具有无限的克鲁尔维数。
更新日期:2020-05-11
中文翻译:
是无限维度的
给定一个完美的估值环