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A_\text inf has uncountable Krull dimension

2020/02/24 by Heng Du, Du, Heng
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2002.10358

openalex publication_date 2020/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let OE 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 WOE(R) of OE-Witt vectors over R is at least the cardinality of the continuum.

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