The minimal prime ideal of a valuation ring
Author
Brusamarello, Rosali
Gerónimo, Joao Roberto
Germano do Rocio, Osvaldo
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/157310.4067/S0716-09172004000100006
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.