English

Interpreting formulas of divisible lattice ordered abelian groups

Logic 2016-09-27 v1

Abstract

We show that a large class of divisible abelian \ell-groups (lattice ordered groups) of continuous functions is interpretable (in a certain sense) in the lattice of the zero sets of these functions. This has various applications to the model theory of these \ell-groups, including decidability results.

Keywords

Cite

@article{arxiv.1609.07522,
  title  = {Interpreting formulas of divisible lattice ordered abelian groups},
  author = {Marcus Tressl},
  journal= {arXiv preprint arXiv:1609.07522},
  year   = {2016}
}
R2 v1 2026-06-22T15:59:43.244Z