The prime spaces as spectral spaces
type: Item
instance of: scholarly article
title: The prime spaces as spectral spaces
zbMATH Open document ID: 0760.13003
DOI: 10.1007/BF01764133
author: Marco Fontana
author: Francesco Pappalardi
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1992-09-27T00:00:00Z
review text: The Zariski-Riemann surface (the underlying set of which is the collection of all valuation domains of some field containing the given integral domain) plays an important role in Zariski's resolution of singularities. Many researchers try to extend the concept of valuation and also that of Zariski Riemann-surface. The Gam space introduced by Connell extends the Zariski Riemann-surface and the prime space. --- In this paper the author studies topological properties of the Gam space and establishes a connection with Hochster's theory of spectral spaces.
reviewed by: Marcel Morales
Mathematics Subject Classification ID: 13A18
Mathematics Subject Classification ID: 14A05
zbMATH DE Number: 59866
zbMATH Keywords: prime spectrum
zbMATH Keywords: Zariski-Riemann surface
zbMATH Keywords: valuations
zbMATH Keywords: topological properties of the Gam space
zbMATH Keywords: spectral spaces
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01764133
OpenAlex ID: W2059411329
description: scientific article; zbMATH DE number 59866