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arXiv · 2605.24778

Projectable reduced $f$-rings admitting elimination of quantifiers

Jorge I. Guier
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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.

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Jorge I. Guier. 2026-05-23. Projectable reduced $f$-rings admitting elimination of quantifiers. https://arxiv.org/abs/2605.24778

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