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.

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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
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description	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.
doi_str_mv	10.1017/jsl.2020.61
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subjects	Language Logic Mathematics Philosophy Structuralism
title	ELEMENTARY EQUIVALENCE THEOREM FOR PAC STRUCTURES
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