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ELEMENTARY EQUIVALENCE THEOREM FOR PAC STRUCTURES

Part of: Model theory

Published online by Cambridge University Press:  26 October 2020

JAN DOBROWOLSKI ,
DANIEL MAX HOFFMANN  and
JUNGUK LEE
JAN DOBROWOLSKI
Affiliation:
INSTYTUT MATEMATYCZNY UNIWERSYTET WROCŁAWSKI WROCŁAW, POLAND SCHOOL OF MATHEMATICS UNIVERSITY OF LEEDS LEEDS, UKE-mail: [email protected]: [email protected]: http://www.math.uni.wroc.pl/~dobrowol/
DANIEL MAX HOFFMANN
Affiliation:
INSTYTUT MATEMATYKI UNIWERSYTET WARSZAWSKI WARSZAWA, POLAND DEPARTMENT OF MATHEMATICS UNIVERSITY OF NOTRE DAME NOTRE DAME, IN USAE-mail: [email protected]: https://sites.google.com/site/danielmaxhoffmann/
JUNGUK LEE
Affiliation:
INSTYTUT MATEMATYCZNY UNIWERSYTET WROCŁAWSKI WROCŁAW, POLAND DEPARTMENT OF MATHEMATICAL SCIENCES KAIST, 291, DAEHAK-RO, YUSEONG-GU, DAEJEON, 34141REPUBLIC OF KOREAE-mail: [email protected]: https://sites.google.com/site/leejunguk0323/
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Abstract

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.

Keywords

pseudo-algebraically closed structuresGalois groups

MSC classification

Primary: 03C95: Abstract model theory
Secondary: 03C45: Classification theory, stability and related concepts 03C50: Models with special properties (saturated, rigid, etc.)
Type
Articles
Information
The Journal of Symbolic Logic , Volume 85 , Issue 4 , December 2020 , pp. 1467 - 1498
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Copyright
© The Association for Symbolic Logic 2020

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References

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