ELEMENTARY EQUIVALENCE THEOREM FOR PAC STRUCTURES

ELEMENTARY EQUIVALENCE THEOREM FOR PAC STRUCTURES

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

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Journal of symbolic logic 2020-12, Vol.85 (4), p.1467-1498
Hauptverfasser: DOBROWOLSKI, JAN, HOFFMANN, DANIEL MAX, LEE, JUNGUK
Format: Artikel
Sprache:eng
Schlagworte:
Language
Logic
Mathematics
Philosophy
Structuralism
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We generalize a well-known theorem binding the elementary equivalence relation on the level of PAC fields and the isomorphism type of their absolute Galois groups. Our results concern two cases: saturated PAC structures and nonsaturated PAC structures.
ISSN:0022-4812
1943-5886
DOI:10.1017/jsl.2020.61