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Title: Zariski geometries on strongly minimal unars
Author: Albalahi, Abeer
ISNI:       0000 0004 7973 2588
Awarding Body: University of East Anglia
Current Institution: University of East Anglia
Date of Award: 2019
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available