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

dc.contributor.author	Elmwafy, Ahmed Osama Mohamed Sayed Sayed
dc.date.accessioned	2021-07-08T08:48:48Z
dc.date.available	2021-07-08T08:48:48Z
dc.date.issued	2020
dc.identifier.uri	http://hdl.handle.net/11394/8275
dc.description	>Magister Scientiae - MSc	en_US
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.publisher	University of Western Cape	en_US
dc.subject	Ax-Grothendieck theorem	en_US
dc.subject	Algebraically closed fields	en_US
dc.subject	Quantifier elimination	en_US
dc.title	Model theory of algebraically closed fields and the Ax-Grothendieck Theorem	en_US
dc.rights.holder	African Institute for Mathematical Sciences	en_US