English

Un Crit{\`E}Re Simple

Logic 2019-12-19 v5

Abstract

In this short note, we mimic the proof of the simplicity of the theory ACFA of generic difference fields in order to provide a criterion, valid for certain theories of pure fields and fields equipped with operators, which shows that a complete theory is simple whenever its definable and algebraic closures are controlled by an underlying stable theory.

Keywords

Cite

@article{arxiv.1703.03322,
  title  = {Un Crit{\`E}Re Simple},
  author = {Thomas Blossier and Amador Martin-Pizarro},
  journal= {arXiv preprint arXiv:1703.03322},
  year   = {2019}
}

Comments

in French

R2 v1 2026-06-22T18:41:11.847Z