Contracting the socle in rings of continuous functions

DOI10.4171/RSMUP/123-2zbMath1200.06005MaRDI QIDQ991580

Themba Dube

Publication date: 7 September 2010

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/243271

zbMATH Keywords

annihilatorStone-Čech compactificationsocleframe homomorphism\(P\)-framering of continuous functionscozero mapexoteric ringnearly open frame homomorphismW-map

Mathematics Subject Classification ID

Frames, locales (06D22) Algebraic properties of function spaces in general topology (54C40) Ideals and multiplicative ideal theory in commutative rings (13A15) Real-valued functions in general topology (54C30) Ordered rings (13J25)

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Cites Work

• On the function ring functor in pointfree topology
• Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames
• Some ring-theoretic properties of almost \(P\)-frames
• Exoteric homomorphisms
• Notes on pointfree disconnectivity with a ring-theoretic slant
• On the Intrinsic Topology and Some Related Ideals of C(X)
• Maps that Characterize Normality Properties and Pseudocompactness
• C- and C^*-quotients in pointfree topology
• The Space of Minimal Prime Ideals of a Commutative Ring
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