Zariski Geometries on Strongly Minimal Unars

Albalahi, Abeer (2019) Zariski Geometries on Strongly Minimal Unars. Doctoral thesis, University of East Anglia.

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Abstract

In this thesis, we will axiomatize the theory of a strongly minimal unar, that is, a structure A in the language L = (f) where f is a unary function. We will first classify the strongly minimal unars where f is injective and give complete axiomatizations for them. Then we will show that these theories have quantifier elimination after adding some relation symbols.
Then we will topologize A and prove that this topology satisfies the Zariski axioms. Finally we will classify all the strongly minimal unars, not necessarily the injective ones, and give an axiomatization of some of the cases of the classification.

Item Type: Thesis (Doctoral)
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Chris White
Date Deposited: 22 Oct 2019 08:10
Last Modified: 22 Oct 2019 08:10
URI: https://ueaeprints.uea.ac.uk/id/eprint/72730
DOI:

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