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Model theory of algebraically closed fields and the Ax-Grothendieck Theorem

>Magister Scientiae - MSc / We introduce the concept of an algebraically closed field with emphasis of the basic model-theoretic
results concerning the theory of algebraically closed fields. One of these nice results about algebraically
closed fields is the quantifier elimination property. We also show that the theory of algebraically closed
field with a given characteristic is complete and model-complete. Finally, we introduce the beautiful
Ax-Grothendieck theorem and an application to it.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:uwc/oai:etd.uwc.ac.za:11394/8275
Date January 2020
CreatorsElmwafy, Ahmed Osama Mohamed Sayed Sayed
PublisherUniversity of Western Cape
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
RightsAfrican Institute for Mathematical Sciences

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