On generic structures preserving elementary equivalence and elementary embeddability

On generic structures preserving elementary equivalence and elementary embeddability Full article

Journal

Вестник Карагандинского университета. Серия Математика (Bulletin of the Karaganda University-Mathematics)
ISSN: 2518-7929 , E-ISSN: 2663-5011

Output data

Year: 2018, Volume: 89, Number: 1, Pages: 70-76 Pages count : 7

Tags

generic structure, elementary equivalence, Fra¨ıss´e–Taimanov–Ehrenfeucht’s method, elementary embeddability, Tarski-Vaught test.

Authors

Sudoplatov Sergei Vladimirovich ^1,2,3,4

Affiliations

1	Sobolev Institute of Mathematics
2	Novosibirsk State University
3	Novosibirsk State Technical University
4	Institute of Mathematics and Mathematical Modeling, Almaty

We consider criteria for elementary equivalence and elementary embeddability for generic structures. They use classical characterizations for the general case. The criterion for elementary equivalence is based on the well known Fra¨ıss´e–Taimanov–Ehrenfeucht overturning method. The criterion for elementary embeddability uses the known Tarski–Vaught test.

Sudoplatov S.V.
On generic structures preserving elementary equivalence and elementary embeddability
Вестник Карагандинского университета. Серия Математика (Bulletin of the Karaganda University-Mathematics). 2018. V.89. N1. P.70-76. WOS РИНЦ

Submitted:	Oct 31, 2017
Published print:	Jan 15, 2018

Web of science:	WOS:000434333200009
Elibrary:	44706675

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