l-Ideals of the form , ideals satisfying , and primary mdeals in a class of f-rings

DOI10.1080/00927879408825017zbMath0806.06014OpenAlexW2018442169MaRDI QIDQ4295992

Suzanne Larson

Publication date: 30 June 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408825017

zbMATH Keywords

multiplicative decomposition propertyprime \(\ell\)-idealssemiprime \(f\)-ringprimary \(\ell\)-idealssecond convexity propertysquare domiantedsum of \(\ell\)-ideals

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Radicals and radical properties of associative rings (16N99)

Related Items (2)

A characterization off-rings in which the sum of semiprimel-ideals is semiprime and its consequences ⋮ Finitely 1-convex \(f\)-rings

Cites Work

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• Convex and pseudoprime ideals in rings of continuous functions
• When is \(C(X)/P\) a valuation ring for every prime ideal \(P\)?
• Groupes et anneaux reticules
• Convexity Conditions on f-Rings
• Primary l-ideals in a class of f-rings
• Square dominated l-ideals and l-products and sums of semiprime l-ideals in f-rings
• Intersections of Primary Ideals in Rings of Continuous Functions

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