# 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.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: Group-Ring-Module Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.