THE MINIMAL PRIME IDEAL OF A VALUATION RING

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

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Detalles Bibliográficos
Autores principales: BRUSAMARELLO,ROSALI, GERÔNIMO,JOÃO, DO ROCÍO,OSVALDO
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2004
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000100006
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Sumario: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