Fields and Fusions: Hrushovski constructions and their definable groups
Frank Olaf Wagner (ICJ)
TL;DR
This paper explores the expansions of fields and fusions of strongly minimal sets created via Hrushovski's amalgamation method, focusing on the structure and properties of definable groups within these models.
Contribution
It provides a comprehensive overview of Hrushovski constructions in fields and strongly minimal sets, including a characterization of the definable groups in these structures.
Findings
Characterization of groups definable in Hrushovski-constructed structures
Analysis of expansions of fields and fusions of strongly minimal sets
Insights into the model-theoretic properties of these structures
Abstract
An overview is given of the various expansions of fields and fusions of strongly minimal sets obtained by means of Hrushovski's amalgamation method, as well as a characterization of the groups definable in these structures.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Computability, Logic, AI Algorithms · Rings, Modules, and Algebras