Two functors induced by certain ideals of function rings.

DOI10.1007/s10485-013-9320-0zbMath1306.06007OpenAlexW1975315958MaRDI QIDQ742930

Themba Dube, Oghenetega Ighedo

Publication date: 19 September 2014

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-013-9320-0

zbMATH Keywords

skeletal maps\(z\)-idealscoherent frames\(d\)-ideals\(*\)-densityfaithful functorsleft adjoint functorsopen maps

Mathematics Subject Classification ID

Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Special properties of functors (faithful, full, etc.) (18A22) Real-valued functions in general topology (54C30)

Related Items (2)

More on the functor induced by \(z\)-ideals ⋮ A remark on the ring of integer-valued continuous functions in pointfree topology

Cites Work

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• On \(z\)-ideals of pointfree function rings
• On a class of pseudocompact spaces derived from ring epimorphisms
• Variants of openness
• When an algebraic frame is regular
• z-ideals and prime ideals
• Patch-generated frames and projectable hulls
• Frames and Locales
• Dimension in algebraic frames
• Lindelöf locales and realcompactness
• COMMENTS REGARDING d-IDEALS OF CERTAIN f-RINGS

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