Ainf has uncountable Krull dimension

Heng Du Purdue University

Number Theory Algebraic Geometry mathscidoc:2205.24002

Let R be a non-discrete rank one valuation ring of characteristic p and let E be any discrete valuation ring, we prove the ring of E-Witt vectors over R has uncountable Krull dimension without assuming the axiom of existence of prime ideals for general commutative unitary rings.
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  title={Ainf  has uncountable Krull dimension},
  author={Heng Du},
Heng Du. Ainf has uncountable Krull dimension. 2020.
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