R-P-spaces and subrings of C(X)

DOI10.2298/FIL1801319PzbMath1488.54065MaRDI QIDQ5012847

Mehdi Parsinia

Publication date: 25 November 2021

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

\(P\)-spacesubringintermediate ring\(R\)-\(P\)-spaceintermediate \(C\)-ring

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (3)

Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$ ⋮ Notes on a class of ideals in intermediate rings of continuous functions ⋮ Unnamed Item

Cites Work

• On the functionally countable subalgebra of \(C(X)\)
• There do not exist minimal algebras between \(C^*(X)\) and \(C(X)\) with prescribed real maximal ideal spaces
• Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)
• \(P\)-spaces and intermediate rings of continuous functions
• Intersections of maximal ideals in algebras between \(C^*(X)\) and \(C(X)\)
• On the sum of \(z\)-ideals in subrings of \(C(X)\)
• On subrings of the form \(I+\mathbb{R}\) of \(C(X)\)
• Characterizations of ideals in intermediate \(C\)-rings \(A(X)\) via the \(A\)-compactifications of \(X\)
• z-ideals and prime ideals
• P-ideals and F-ideals in rings of continuous functions
• On Structure Spaces of Ideals In Rings of Continuous Functions
• Remarks on subrings ofC(X) of the formI+C*(X)
• On a class of subalgebras of C(X) with applications to βX\X
• On Isomorphisms Between Ideals in Rings of Continuous Functions
• Remarks on $LBI$-subalgebras of $C(X)$
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