Rings of Continuous Functions on Spaces of Finite Rank and the SV Property

DOI10.1080/00927870701327880zbMath1146.54008OpenAlexW2068218308MaRDI QIDQ5308811

Suzanne Larson

Publication date: 8 October 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701327880

zbMATH Keywords

rings of continuous functions\(F\)-space\(f\)-ringsfinite rankSV space\(h\)-riftSV ring

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ordered rings, algebras, modules (06F25) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (3)

SV and related \(f\)-rings and spaces ⋮ Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras ⋮ Conditions on Normal Spaces of Finite Rank That GuaranteeC(X) is SV

Cites Work

• Unnamed Item
• Almost discrete SV-space
• When is \(C(X)/P\) a valuation ring for every prime ideal \(P\)?
• Convexity Conditions on f-Rings
• Bezout and prufer f-rings
• Lattice-Ordered Algebras that are Subdirect Products of Valuation Domains
• f-rings in which every maximal ideal contains finitely many minimal prime ideals
• Constructing Rings of Continuous Functions in Which There Are Many Maximal Ideals with Nontrivial Rank

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