The minimal prime ideal of a valuation ring
Author
Brusamarello, Rosali
Gerónimo, Joao Roberto
Germano do Rocio, Osvaldo
Abstract
In this paper we consider a non-archimedean ordered field (K, ≤) and a valuation v of K compatible with respect to ≤. We will give a relation between the existence of a minimal prime ideal of the valuation ring Av and the rank of the valuation.