\(pm\)-rings and the prime ideal theorem

DOI10.1016/j.topol.2011.03.012zbMath1231.13022OpenAlexW1967782709MaRDI QIDQ645195

Bernhard Banaschewski

Publication date: 8 November 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.03.012

zbMATH Keywords

Axiom of Choice\(pm\)-ringGelfand ringPrime Ideal Theoremweakly Gelfand ring

Mathematics Subject Classification ID

Applications of logic to commutative algebra (13L05) Real-valued functions in general topology (54C30) Axiom of choice and related propositions (03E25) Ordered rings (13J25)

Related Items (1)

On PM-rings, rings of finite character and h-local rings

Cites Work

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• A generalisation of Gel'fand duality
• Generalized ``Boolean theory of universal algebras. II. Identities and subdirect sums of functionally complete algebras
• The Power of the Ultrafilter Theorem
• Variants of RADO'S Selection Lemma and their Applications
• A New Proof that “Krull implies Zorn”
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal

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