Finding a field in a Zariski-like structure

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http://hdl.handle.net/10138/307122

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Kangas , K 2017 , ' Finding a field in a Zariski-like structure ' , Annals of Pure and Applied Logic , vol. 168 , no. 10 , pp. 1837-1865 . https://doi.org/10.1016/j.apal.2017.04.002

Title: Finding a field in a Zariski-like structure
Author: Kangas, Kaisa
Contributor: University of Helsinki, Department of Mathematics and Statistics
Date: 2017-10
Language: eng
Number of pages: 29
Belongs to series: Annals of Pure and Applied Logic
ISSN: 0168-0072
URI: http://hdl.handle.net/10138/307122
Abstract: We show that if M is a Zariski-like structure (see [7]) and the canonical pregeometry obtained from the bounded closure operator (bcl) is non-locally modular, then M interprets either an algebraically closed field or a non-classical group. (C) 2017 Elsevier B.V. All rights reserved.
Subject: Group configuration
Zariski geometries
AECs
ALGEBRAICALLY CLOSED FIELDS
QUASIMINIMAL STRUCTURES
CHARACTERISTIC ZERO
GEOMETRIES
COVERS
111 Mathematics
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