A correspondence between ideals and \(z\)-filters for certain rings of continuous functions -- some remarks

DOI10.1016/j.topol.2013.06.011zbMath1283.54017OpenAlexW2014173196MaRDI QIDQ387194

Sudip Kumar Acharyya, Bedanta Bose

Publication date: 20 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.06.011

zbMATH Keywords

maximal idealsprime idealsrings of continuous functions\(z\)-filters\(z\)-ultrafilters

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40)

Related Items (3)

Unnamed Item ⋮ Intermediate rings of complex-valued continuous functions ⋮ Unnamed Item

Cites Work

• Prime and maximal ideals in subrings of C(X)
• A generalisation of Gel'fand duality
• Maximal Ideals in Subalgebras of C(X)
• Local invertibility in subrings of C*(X)
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