A universal survival ring of continuous functions which is not a universal lying-over ring

DOI10.1216/RMJ-2013-43-3-825zbMath1279.13016MaRDI QIDQ2393430

David E. Dobbs, Ronnie Levy, Jay Shapiro

Publication date: 8 August 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1375361976

zbMATH Keywords

prime idealKrull dimensioncontinuum hypothesisultrafilterring extensionsone-point compactificationdivided domainlying-overring of continuous functionsuniversal survival ring

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Commutative ring extensions and related topics (13B99)

Related Items (1)

On bowtie rings, universal survival rings and universal lying-over rings

Cites Work

• Homogeneity problems in the theory of Cech compactifications
• Universally going-down homomorphisms of commutative rings
• Divided rings and going-down
• Globalizing local properties of Prüfer domains
• Prime ideals in ultraproducts of commutative rings
• The Shelah P-point independence theorem
• An isomorphism theorem for real-closed fields
• Universal Lying-Over Rings
• The prime spectrum of an infinite product of copies of Z
• On divided commutative rings
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