Elementary Equivalence Theorem for PAC structures

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.

References in corpus (1)

• On Galois groups and PAC substructures

Cited by in corpus (3)

• Differentially Large Fields
• PAC structures as invariants of finite group actions
• The embedding property for sorted profinite groups