Fundamental Properties of Valuation Theory and Hensel's Lemma

Hidetsune Kobayashi

8 August 2007

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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@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{http://isa-afp.org/entries/Valuation.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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