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Ainf has uncountable Krull dimension

Heng Du Purdue University

Number Theory Algebraic Geometry mathscidoc:2205.24002

2020.2
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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[ Download ] [ 2022-05-17 15:34:39 uploaded by hengdu ] [ 387 downloads ] [ 0 comments ] 
@inproceedings{heng2020ainf,
  title={Ainf  has uncountable Krull dimension},
  author={Heng Du},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517153439668480232},
  year={2020},
}
Heng Du. Ainf has uncountable Krull dimension. 2020. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517153439668480232.
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