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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Autores principales:	BRUSAMARELLO,ROSALI, GERÔNIMO,JOÃO, DO ROCÍO,OSVALDO
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2004
Materias:	Valuations ordered fields rank
Acceso en línea:	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 Chile
collection	Scielo Chile
language	English
topic	Valuations ordered fields rank
spellingShingle	Valuations ordered fields rank BRUSAMARELLO,ROSALI GERÔNIMO,JOÃO DO ROCÍO,OSVALDO THE 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
author	BRUSAMARELLO,ROSALI GERÔNIMO,JOÃO DO ROCÍO,OSVALDO
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
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2004
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000100006
work_keys_str_mv	AT brusamarellorosali theminimalprimeidealofavaluationring AT geronimojoao theminimalprimeidealofavaluationring AT dorocioosvaldo theminimalprimeidealofavaluationring AT brusamarellorosali minimalprimeidealofavaluationring AT geronimojoao minimalprimeidealofavaluationring AT dorocioosvaldo minimalprimeidealofavaluationring
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THE MINIMAL PRIME IDEAL OF A VALUATION RING

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