THE MINIMAL PRIME IDEAL OF A VALUATION RING

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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Main Authors: BRUSAMARELLO,ROSALI, GERÔNIMO,JOÃO, DO ROCÍO,OSVALDO
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2004
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000100006
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spelling oai:scielo:S0716-091720040001000062004-06-08THE MINIMAL PRIME IDEAL OF A VALUATION RINGBRUSAMARELLO,ROSALIGERÔNIMO,JOÃODO ROCÍO,OSVALDO Valuations ordered fields rank 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 valuationinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.23 n.1 20042004-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000100006en10.4067/S0716-09172004000100006
institution SCIELO
collection OJS
country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author BRUSAMARELLO,ROSALI
GERÔNIMO,JOÃO
DO ROCÍO,OSVALDO
spellingShingle BRUSAMARELLO,ROSALI
GERÔNIMO,JOÃO
DO ROCÍO,OSVALDO
THE MINIMAL PRIME IDEAL OF A VALUATION RING
author_facet BRUSAMARELLO,ROSALI
GERÔNIMO,JOÃO
DO ROCÍO,OSVALDO
author_sort BRUSAMARELLO,ROSALI
title THE MINIMAL PRIME IDEAL OF A VALUATION RING
title_short THE MINIMAL PRIME IDEAL OF A VALUATION RING
title_full THE MINIMAL PRIME IDEAL OF A VALUATION RING
title_fullStr THE MINIMAL PRIME IDEAL OF A VALUATION RING
title_full_unstemmed THE MINIMAL PRIME IDEAL OF A VALUATION RING
title_sort minimal prime ideal of a valuation ring
description 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
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2004
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000100006
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AT geronimojoao theminimalprimeidealofavaluationring
AT dorocioosvaldo theminimalprimeidealofavaluationring
AT brusamarellorosali minimalprimeidealofavaluationring
AT geronimojoao minimalprimeidealofavaluationring
AT dorocioosvaldo minimalprimeidealofavaluationring
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