English

Generic derivations on algebraically bounded structures II. Model theoretical properties

Logic 2026-05-26 v2

Abstract

Let T be an algebraically bounded theory. We consider the L(δˉ)L(\bar\delta)-expansions of T by a tuple δˉ\bar \delta of derivations (which may be commuting or not). We investigate the model completion of either of the above theories, whose existence has been established in [FT:24], with particular attention to its model-theoretic properties, including ω\omega-stability, simplicity, open core, and elimination of imaginaries.

Keywords

Cite

@article{arxiv.2507.22181,
  title  = {Generic derivations on algebraically bounded structures II. Model theoretical properties},
  author = {Fornasiero Antongiulio and Terzo Giuseppina},
  journal= {arXiv preprint arXiv:2507.22181},
  year   = {2026}
}
R2 v1 2026-07-01T04:24:49.326Z