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

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dc.contributor.authorElmwafy, Sayed Sayed Ahmed Osama Mohamed
dc.date.accessioned2026-05-15T09:25:13Z
dc.date.available2026-05-15T09:25:13Z
dc.date.issued2020
dc.description.abstractWe 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.
dc.identifier.urihttps://hdl.handle.net/10566/22453
dc.language.isoen
dc.publisherUniversity of the Western Cape
dc.subjectModel
dc.subjectStructure
dc.subjectQuantifier Elimination
dc.subjectComplete
dc.subjectModel-complete
dc.titleModel theory of algebraically closed fields and the Ax-Grothendieck Theorem
dc.typeThesis

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Magister Scientiae - MSc (Mathematics and Applied Mathematics)