On the lattice of \(z\)-ideals of a commutative ring

DOI10.1016/j.topol.2019.106969zbMath1439.13008OpenAlexW2996282555WikidataQ126585933 ScholiaQ126585933MaRDI QIDQ2310778

Oghenetega Ighedo, Warren Wm. McGovern

Publication date: 6 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.106969

zbMATH Keywords

framecommutative ringcompact elementalgebraic frame\(z\)-idealdense map

Mathematics Subject Classification ID

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

Related Items (4)

A lattice-theoretic view of some special ideals of subrings of commutative rings ⋮ Variations of essentiality of ideals in commutative rings ⋮ Yosida, Martínez, and A + B Rings ⋮ Algebraic frames in which dense elements are above dense compact elements

Cites Work

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• A note on lattices of \(z\)-ideals of \(f\)-rings.
• On \(z\)-ideals of pointfree function rings
• Neat rings
• Some connections between frames of radical ideals and frames of \(z\)-ideals
• When an algebraic frame is regular
• z-ideals and prime ideals
• Yosida frames
• Feebly projectable algebraic frames and multiplicative filters of ideals
• Patch-generated frames and projectable hulls
• Frames and Locales
• Ideals in rings of continuous functions
• GENERALIZATIONS OF COMPLEMENTED RINGS WITH APPLICATIONS TO RINGS OF FUNCTIONS
• Higher order z-ideals in commutative rings

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