Fundamental Properties of Valuation Theory and Hensel's Lemma

Hidetsune Kobayashi

August 8, 2007

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

Abstract

Convergence with respect to a valuation is discussed as convergence of a Cauchy sequence. Cauchy sequences of polynomials are defined. They are used to formalize Hensel's lemma.

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BSD License

Topics

Session Valuation

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Cite

× 
@article{Valuation-AFP,
  author  = {Hidetsune Kobayashi},
  title   = {Fundamental Properties of Valuation Theory and Hensel's Lemma},
  journal = {Archive of Formal Proofs},
  month   = {August},
  year    = {2007},
  note    = {\url{https://isa-afp.org/entries/Valuation.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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