Resumen de The minimal prime ideal of a valuation ring

Rosali Brusamarello, João Roberto Gerônimo, Osvaldo Germano do Rocio

• 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.