English

Projectable reduced $f$-rings admitting elimination of quantifiers

Logic 2026-05-26 v1 Commutative Algebra

Abstract

In this note, we give a characterization of all projectable and divisible-projectable reduced ff-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.

Keywords

Cite

@article{arxiv.2605.24778,
  title  = {Projectable reduced $f$-rings admitting elimination of quantifiers},
  author = {Jorge I. Guier},
  journal= {arXiv preprint arXiv:2605.24778},
  year   = {2026}
}

Comments

Latex, 16 pages, no figures

R2 v1 2026-07-22T07:30:26.590Z