When certain prime ideals in rings of continuous functions are minimal or maximal.

DOI10.1016/j.topol.2015.05.073zbMath1325.06010OpenAlexW923563142MaRDI QIDQ491803

Jissy Nsonde Nsayi, Themba Dube

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.073

zbMATH Keywords

minimal prime ideals\(P\)-framesalmost \(P\)-framesmaximal prime idealsquasi \(m\)-spacesquasi \(P\)-framesquasi cozero complemented framesrings of continuous real functions

Mathematics Subject Classification ID

Pathological topological spaces (54G15) 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) (P)-spaces (54G10)

Related Items (2)

On fraction-dense algebraic frames ⋮ Some notes on \(z\)-ideal and \(d\)-ideal in \(\mathcal{R}L\)

Cites Work

• Cozero complemented frames
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• Frames and Locales
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