Convexity Conditions on f-Rings

DOI10.4153/CJM-1986-003-6zbMath0588.06011OpenAlexW2045274115MaRDI QIDQ3715165

Suzanne Larson

Publication date: 1986

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1986-003-6

zbMATH Keywords

convexity propertyf-ringsf-algebras\(\ell \)-idealidempotent ring idealssemiprime ring idealsuniformly complete Archimedean f-algebra with unit element

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Ordered topological linear spaces, vector lattices (46A40) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (21)

Rings of quotients off-rings by gabriel filters of ideals ⋮ Constructing Rings of Continuous Functions in Which There Are Many Maximal Ideals with Nontrivial Rank ⋮ COMPLETELY REAL HULLS OF PARTIALLY ORDERED RINGS ⋮ THE INTERMEDIATE VALUE THEOREM INf-RINGS ⋮ Rings of Continuous Functions on Spaces of Finite Rank and the SV Property ⋮ Pseudo-valuation rings and \(C(X)\) ⋮ l-Ideals of the form , ideals satisfying , and primary mdeals in a class of f-rings ⋮ Minimal convex extensions and intersections of primary I-ideals in f-rings ⋮ Bezout and prufer f-rings ⋮ A characterization off-rings in which the sum of semiprimel-ideals is semiprime and its consequences ⋮ Finitely 1-convex \(f\)-rings ⋮ SV and related \(f\)-rings and spaces ⋮ SV-rings and SV-porings ⋮ Convex elements in lattice–ordered rings and modules ⋮ Positivity and convexity in rings of fractions ⋮ f-rings in which every maximal ideal contains finitely many minimal prime ideals ⋮ \(m\)-quasinormal \(f\)-rings ⋮ Dimension in algebraic frames ⋮ Unnamed Item ⋮ Images and Open Subspaces of SV Spaces ⋮ Conditions on Normal Spaces of Finite Rank That GuaranteeC(X) is SV

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