About the spectrum of Nagata rings

DOI10.1007/s00605-011-0325-1zbMath1267.13008OpenAlexW2072346877MaRDI QIDQ1759670

Mabrouk Ben Nasr, Nasr Zeyeda, Noômen Jarboui

Publication date: 21 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0325-1

zbMATH Keywords

algebraic extensionprime idealKrull dimensionPrüfer domainintegral domainJaffard domainNagata ringpseudo-valuation domaincatenarian domainstrong S-domain

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

A question about saturated chains of primes in Serre conjecture rings ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ On Nagata rings with amalgamation properties

Cites Work

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• Pullbacks and universal catenarity
• On Jaffard domains
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• About the Spectrum of the RingsR(n) andR⟨n⟩
• Valuative Heights and Infinite Nagata Rings
• Sur quelques propriétés des sous-anneaux de la forme D+I dun anneau intègre

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