THE INTERMEDIATE VALUE THEOREM INf-RINGS

DOI10.1081/AGB-120003479zbMath1026.06019OpenAlexW2021593755MaRDI QIDQ4551091

Suzanne Larson

Publication date: 4 September 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120003479

zbMATH Keywords

lattice-ordered ringsrings of continuous functions\(F\)-space\(f\)-ringssemiprime ringintermediate value theoremcompletely regular topological spaces

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Algebraic properties of function spaces in general topology (54C40) Ordered rings, algebras, modules (06F25) Ordered rings (13J25)

Cites Work

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• A general theory of structure spaces with applications to spaces of prime ideals
• Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)
• The essential closure of an Archimedean lattice-ordered group
• Convexity Conditions on f-Rings
• Bezout and prufer f-rings

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