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Projectable reduced $f$-rings admitting elimination of quantifiers
Jorge I. Gui · 2026-05-26 · via math updates on arXiv.org

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Abstract:In this note, we give a characterization of all projectable and divisible-projectable reduced $f$-rings satisfying the first convexity property and admitting elimination of quantifiers, in the language of lattice-ordered rings with the divisibility relation, the radical relation associated to the minimal prime spectrum, and the local divisibility relation.
Comments: Latex, 16 pages, no figures
Subjects: Logic (math.LO); Commutative Algebra (math.AC)
MSC classes: 03C10 (Primary), 06F25, 13J25, 13J30, 13A05, 06E15 (Secondary)
Cite as: arXiv:2605.24778 [math.LO]
  (or arXiv:2605.24778v1 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.2605.24778

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Jorge Guier [view email]
[v1] Sat, 23 May 2026 23:38:16 UTC (17 KB)