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Title:Model Theory of Fields With Multiplicative Groups
Author(s):Gunaydin, Ayhan
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:The general theme of this thesis is the model theory of fields expanded by multiplicative groups. We first consider a real closed field expanded by two subgroups of the positive part of that field. Then we investigate an algebraically closed field with a multiplicative subgroup satisfying a certain diophantine condition with respect to a subfield of the algebraically closed field. We also study the real field with a distinguished subgroup of the unit circle group in the complex plane.
Issue Date:2008
Type:Text
Language:English
Description:114 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
URI:http://hdl.handle.net/2142/86906
Other Identifier(s):(MiAaPQ)AAI3337756
Date Available in IDEALS:2015-09-28
Date Deposited:2008


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