Fundamental Properties of Valuation Theory and Hensel's Lemma

 

Title: Fundamental Properties of Valuation Theory and Hensel's Lemma
Author: Hidetsune Kobayashi
Submission date: 2007-08-08
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.
BibTeX:
@article{Valuation-AFP,
  author  = {Hidetsune Kobayashi},
  title   = {Fundamental Properties of Valuation Theory and Hensel's Lemma},
  journal = {Archive of Formal Proofs},
  month   = aug,
  year    = 2007,
  note    = {\url{http://isa-afp.org/entries/Valuation.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Group-Ring-Module