The prime spaces as spectral spaces

DOI10.1007/BF01764133zbMath0760.13003OpenAlexW2059411329MaRDI QIDQ1191393

Marco Fontana, Francesco Pappalardi

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01764133

zbMATH Keywords

valuationsspectral spacesprime spectrumtopological properties of the Gam spaceZariski-Riemann surface

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Relevant commutative algebra (14A05)

Cites Work

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• On treed Nagata rings
• V-valuations of a commutative ring. I
• Kronecker function rings and abstract Riemann surfaces
• Abstract Riemann surfaces of integral domains and spectral spaces
• Topologically defined classes of commutative rings
• Chained rings
• A natural transformation of the Spec functor
• Prüfer and valuation rings with zero divisors
• La notion de place dans un anneau
• Topologically Defined Classes of Going-Down Domains
• Arithmetical rings
• Extension of valuation theory
• Prime Ideal Structure in Commutative Rings
• Prüfer rings with zero divisors.
• Valuations and Prufer Rings

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