Submission date: 20 November 2018

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.

Mathematics Subject Classification: 03C95 (Primary) 03C45, 03C50 (Secondary)

Keywords and phrases:

Full text arXiv 1811.08510: pdf, ps.