scholarly journals Model theory of fields with virtually free group actions

2018 ◽  
Vol 118 (2) ◽  
pp. 221-256 ◽  
Author(s):  
Özlem Beyarslan ◽  
Piotr Kowalski
Keyword(s):  
Free Group ◽  
Model Theory ◽  
Group Actions ◽  
Theory Of Fields ◽  
Virtually Free Group ◽  
Model Theory Of Fields ◽  
Free Group Actions

Some model theory for almost real closed fields

1996 ◽  
Vol 61 (4) ◽  
pp. 1121-1152 ◽  
Author(s):  
Françoise Delon ◽  
Rafel Farré
Keyword(s):  
Model Theory ◽  
Residue Field ◽  
Elementary Equivalence ◽  
First Order ◽  
Valuation Rings ◽  
Closed Fields ◽  
Theory Of Fields ◽  
Model Theory Of Fields ◽  
Elementary Inclusion ◽  
Henselian Valuation

AbstractWe study the model theory of fields k carrying a henselian valuation with real closed residue field. We give a criteria for elementary equivalence and elementary inclusion of such fields involving the value group of a not necessarily definable valuation. This allows us to translate theories of such fields to theories of ordered abelian groups, and we study the properties of this translation. We also characterize the first-order definable convex subgroups of a given ordered abelian group and prove that the definable real valuation rings of k are in correspondence with the definable convex subgroups of the value group of a certain real valuation of k.

Rings with Fixed-Point-Free Group Actions

1973 ◽  
Vol s3-27 (1) ◽  
pp. 69-87 ◽  
Author(s):  
G. M. Bergman ◽  
I. M. Isaacs
Keyword(s):  
Fixed Point ◽  
Free Group ◽  
Group Actions ◽  
Free Group Actions

Model Theory of Fields

2016 ◽  
Author(s):  
David Marker ◽  
Margit Messmer ◽  
Anand Pillay
Keyword(s):  
Model Theory ◽  
Theory Of Fields ◽  
Model Theory Of Fields

Model Theory of Fields

2005 ◽  
Author(s):  
David Marker ◽  
Margit Messmer ◽  
Anand Pillay
Keyword(s):  
Model Theory ◽  
Theory Of Fields ◽  
Model Theory Of Fields

Introduction to the Model Theory of Fields

2017 ◽  
pp. 1-37 ◽  
Author(s):  
David Marker ◽  
David Marker ◽  
Margit Messmer ◽  
Anand Pillay
Keyword(s):  
Model Theory ◽  
Theory Of Fields ◽  
Model Theory Of Fields
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