Some new results on functions inC(X) having their support on ideals of closed sets

DOI10.2989/16073606.2018.1504830zbMath1440.54008arXiv1712.09820OpenAlexW2964325820MaRDI QIDQ5238042

Sagarmoy Bag, Pritam Rooj, Sudip Kumar Acharyya, Goutam Bhunia

Publication date: 28 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09820

zbMATH Keywords

essential idealsupportcompact supportsoclepseudocompact spaceintermediate ring\(z^\circ\)-ideal\(C\)-type 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 (2)

Rings and subrings of continuous functions with countable range ⋮ Intermediate rings of complex-valued continuous functions

Cites Work

• \(z\)-ideals and \(z^0\)-ideals in the factor rings of \(C(X)\)
• Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)
• \(P\)-spaces and intermediate rings of continuous functions
• Essential ideals in \(C(X)\)
• Some generalizations and unifications ofC_K(X),Cψ(X) ANDC∞(X)
• On the Intrinsic Topology and Some Related Ideals of C(X)
• On nonregular ideals and z°-ideals in C(X)
• Almost-P-Spaces
• Intersection of essential ideals in $C(X)$
• On ideals consisting entirely of zero divisors
• Supports of Continuous Functions
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