# Artin approximation theorem

> deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. Theorem as a fundamental result of Michael Artin

**Wikidata**: [Q4801169](https://www.wikidata.org/wiki/Q4801169)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Artin_approximation_theorem)  
**Source**: https://4ort.xyz/entity/artin-approximation-theorem