More ring-theoretic characterizations of P-frames

DOI10.1142/S0219498815500619zbMath1376.06011MaRDI QIDQ4983055

Themba Dube, Oghenetega Ighedo

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

\(z\)-ideal\(P\)-frame\(d\)-idealring of real-valued continuous functions on a frame

Mathematics Subject Classification ID

Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Real-valued functions in general topology (54C30) (P)-spaces (54G10)

Related Items (2)

On CP-frames ⋮ On quasi-normality of function rings

Cites Work

• Finite frames, \(P\)-frames and basically disconnected frames
• The \(P\)-frame reflection of a completely regular frame
• On the function ring functor in pointfree topology
• Some algebraic characterizations of \(F\)-frames
• Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames
• Remarks on completely regular Lindelöf reflection of locales
• A new aspect of the cozero lattice in pointfree topology
• z-ideals and prime ideals
• Epicomplete archimedean l-groups via a localic Yosida theorem
• \(\sqrt z\)-ideals and \(\sqrt {z^{^\circ}}\)-ideals in \(C(X)\)
• Frames and Locales
• On The Function Rings of Pointfree Topology
• Atomless Parts of Spaces.

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