EXISTENTIALLY CLOSED MODELS OF FIELDS WITH A DISTINGUISHED SUBMODULE

Christian D'elbée; Itay Kaplan; Leor Neuhauser

doi:10.1017/jsl.2025.10110

EXISTENTIALLY CLOSED MODELS OF FIELDS WITH A DISTINGUISHED SUBMODULE

Christian D'elbée^*
, Itay Kaplan
, Leor Neuhauser

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This article deals with the class of existentially closed models of fields with a distinguished submodule (over a fixed subring). In the positive characteristic case, this class is elementary and was investigated by the first-named author.

Original language	English
Pages (from-to)	1-26
Number of pages	26
Journal	Journal of Symbolic Logic
Volume	91
Issue number	1
DOIs	https://doi.org/10.1017/jsl.2025.10110
State	Published - 1 Mar 2026

Bibliographical note

Publisher Copyright:
© The Author(s), 2025. Published by Cambridge University Press on behalf of The Association for Symbolic Logic.

Keywords

NSOP1
expansion of field by subgroups
positive logic

Access to Document

10.1017/jsl.2025.10110

Cite this

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KW - positive logic

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EXISTENTIALLY CLOSED MODELS OF FIELDS WITH A DISTINGUISHED SUBMODULE

Abstract

Bibliographical note

Keywords

Access to Document

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