Projectable reduced $f$-rings admitting elimination of quantifiers
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911713725513728 |
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| author | Guier, Jorge I. |
| author_facet | Guier, Jorge I. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24778 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Projectable reduced $f$-rings admitting elimination of quantifiers Guier, Jorge I. Logic Commutative Algebra 03C10 (Primary), 06F25, 13J25, 13J30, 13A05, 06E15 (Secondary) 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. |
| title | Projectable reduced $f$-rings admitting elimination of quantifiers |
| topic | Logic Commutative Algebra 03C10 (Primary), 06F25, 13J25, 13J30, 13A05, 06E15 (Secondary) |
| url | https://arxiv.org/abs/2605.24778 |