Some new results on functions inC(X) having their support on ideals of closed sets
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Publication:5238042
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
essential idealsupportcompact supportsoclepseudocompact spaceintermediate ring\(z^\circ\)-ideal\(C\)-type ring
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 ofCK(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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