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Title:Model Theory of Valued Difference Fields
Author(s):Azgin, Salih
Doctoral Committee Chair(s):van den Dries, Lou
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:In this thesis we investigate the model theoretic properties of valued difference fields, that is, valued fields equipped with a distinguished automorphism. We carry out this study in two different contexts depending on the interaction between the valuation and the distinguished automorphism. In both contexts we obtain analogues of the classical results from the model theory of valued fields. We also present a treatment of valued fields in equal characteristic p > 0 as valued difference fields equipped with the Frobenius endomorphism.
Issue Date:2007
Type:Text
Language:English
Description:95 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
URI:http://hdl.handle.net/2142/86881
Other Identifier(s):(MiAaPQ)AAI3290170
Date Available in IDEALS:2015-09-28
Date Deposited:2007


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