Epicompletion in frames with skeletal maps. IV: \(\ast\)-regular frames

DOI10.1007/s10485-009-9220-5zbMath1260.06011OpenAlexW2055816306MaRDI QIDQ453598

Jorge Martinez

Publication date: 27 September 2012

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

Full work available at URL: https://doi.org/10.1007/s10485-009-9220-5

zbMATH Keywords

epicompletionsaturationmonoreflectionskeletal map\(\ast\)-regular framejoinfit frame

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Frames, locales (06D22) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items

Some connections between frames of radical ideals and frames of \(z\)-ideals, Pseudocompleteness in the category of locales, Saturation, Yosida covers and epicompleteness in compact normal frames, Morphisms and pushouts in compact normal joinfit frames, Epicompletion in frames with skeletal maps. II: Compact normal joinfit frames

Cites Work

• Epicompletion in frames with skeletal maps. III: When maps are closed
• Archimedean lattices
• Epicompletion in frames with skeletal maps. I: Compact regular frames
• Epicompletion in frames with skeletal maps. II: Compact normal joinfit frames
• When an algebraic frame is regular
• Nuclear typing of frames vs spatial selectors
• The essential closure of an Archimedean lattice-ordered group
• Prime Ideal Structure in Commutative Rings
• Functorial maximal spectra
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