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

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...

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Main Author: Elmwafy, Ahmed Osama Mohamed Sayed Sayed
Language:en
Published: University of Western Cape 2021
Subjects:
Ax-Grothendieck theorem
Algebraically closed fields
Quantifier elimination
Online Access:http://hdl.handle.net/11394/8275
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spelling ndltd-netd.ac.za-oai-union.ndltd.org-uwc-oai-etd.uwc.ac.za-11394-82752021-07-10T05:08:37Z Model theory of algebraically closed fields and the Ax-Grothendieck Theorem Elmwafy, Ahmed Osama Mohamed Sayed Sayed Ax-Grothendieck theorem Algebraically closed fields Quantifier elimination >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. 2021-07-08T08:48:48Z 2021-07-08T08:48:48Z 2020 http://hdl.handle.net/11394/8275 en African Institute for Mathematical Sciences University of Western Cape
collection NDLTD
language en
sources NDLTD
topic Ax-Grothendieck theorem
Algebraically closed fields
Quantifier elimination
spellingShingle Ax-Grothendieck theorem
Algebraically closed fields
Quantifier elimination
Elmwafy, Ahmed Osama Mohamed Sayed Sayed
Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
description >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.
author Elmwafy, Ahmed Osama Mohamed Sayed Sayed
author_facet Elmwafy, Ahmed Osama Mohamed Sayed Sayed
author_sort Elmwafy, Ahmed Osama Mohamed Sayed Sayed
title Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
title_short Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
title_full Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
title_fullStr Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
title_full_unstemmed Model theory of algebraically closed fields and the Ax-Grothendieck Theorem
title_sort model theory of algebraically closed fields and the ax-grothendieck theorem
publisher University of Western Cape
publishDate 2021
url http://hdl.handle.net/11394/8275
work_keys_str_mv AT elmwafyahmedosamamohamedsayedsayed modeltheoryofalgebraicallyclosedfieldsandtheaxgrothendiecktheorem
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