Pseudo-valuation rings and \(C(X)\)

DOI10.1016/J.JALGEBRA.2018.07.006zbMath1440.13096OpenAlexW2883349806MaRDI QIDQ1655810

Warren Wm. McGovern, Lee Klingler

Publication date: 10 August 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.07.006

zbMATH Keywords

real closed ringcompact Hausdorff spacepseudo-valuation domainring of continuous functions

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Valuation rings (13F30) Ordered rings (13J25)

Related Items (1)

Some classification of certain integral domains via conductor overrings and semistar operations

Cites Work

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• When is \(C(X)/P\) a valuation ring for every prime ideal \(P\)?
• Divided rings and going-down
• Pseudo-valuation domains
• Gabriel filters in real closed rings
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• On the structure of a class of archimedean lattice-ordered algebras
• Real Closed Valuation Rings
• Convexity Conditions on f-Rings
• Real closed rings, I. Residue rings of rings of continuous functions
• On domains which have prime ideals that are linearly ordered
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal

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