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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Keywords

NSOP1
expansion of field by subgroups
positive logic

ASJC Scopus subject areas

Philosophy
Logic

Access to Document

10.1017/jsl.2025.10110

Cite this

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title = "EXISTENTIALLY CLOSED MODELS OF FIELDS WITH A DISTINGUISHED SUBMODULE",

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.",

keywords = "NSOP1, expansion of field by subgroups, positive logic",

author = "Christian D'elb{\'e}e and Itay Kaplan and Leor Neuhauser",

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AU - Kaplan, Itay

AU - Neuhauser, Leor

N1 - Publisher Copyright: © The Author(s), 2025. Published by Cambridge University Press on behalf of The Association for Symbolic Logic.

PY - 2026/3/1

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AB - 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.

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KW - expansion of field by subgroups

KW - positive logic

UR - https://www.scopus.com/pages/publications/105023100949

U2 - 10.1017/jsl.2025.10110

DO - 10.1017/jsl.2025.10110

M3 - Article

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JF - Journal of Symbolic Logic

IS - 1

ER -

EXISTENTIALLY CLOSED MODELS OF FIELDS WITH A DISTINGUISHED SUBMODULE

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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