English

Elementary Equivalence Theorem for PAC structures

Logic 2021-07-01 v3

Abstract

We generalize a well-known theorem binding the elementary equivalence relation on the level of PAC fields and the isomorphism class of their absolute Galois groups. Our results concern two cases: saturated PAC structures and non-saturated PAC structures.

Keywords

Cite

@article{arxiv.1811.08510,
  title  = {Elementary Equivalence Theorem for PAC structures},
  author = {Jan Dobrowolski and Daniel Max Hoffmann and Junguk Lee},
  journal= {arXiv preprint arXiv:1811.08510},
  year   = {2021}
}
R2 v1 2026-06-23T05:22:49.402Z