The minimal prime ideal of a valuation ring

• Brusamarello, Rosali ^[1] ; Gerónimo, Joao Roberto ^[1] ; Germano do Rocio, Osvaldo ^[1]
  1. [1] Universidade Estadual de Maringá

     Universidade Estadual de Maringá

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 23, Nº. 1, 2004, págs. 73-80
• Idioma: inglés
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• Resumen

  • 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.