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» Model Companions of Theories with An Automorphism
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JSYML
2002
66views more  JSYML 2002»
14 years 9 months ago
The Strict Order Property and Generic Automorphisms
If T is a model complete theory with the strict order property, then the theory of the models of T with an automorphism has no model companion.
Hirotaka Kikyo, Saharon Shelah
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JSYML
2000
50views more  JSYML 2000»
14 years 10 months ago
Model Companions of Theories with An Automorphism
Hirotaka Kikyo
APAL
2000
90views more  APAL 2000»
14 years 10 months ago
The definable multiplicity property and generic automorphisms
Let T be a strongly minimal theory with quantifier elimination. We show that the class of existentially closed models of T {" is an automorphism"} is an elementary clas...
Hirotaka Kikyo, Anand Pillay
JSYML
2007
62views more  JSYML 2007»
14 years 10 months ago
A reduction of the NF consistency problem
We give a necessary and sufficient condition in order that a typeshifting automorphism be constructed on a model of the Theory of Simple Types (TST) by forcing. Namely it is prove...
Athanassios Tzouvaras
DM
2011
158views Education» more  DM 2011»
14 years 1 months ago
A survey of homogeneous structures
A relational first order structure is homogeneous if it is countable (possibly finite) and every isomorphism between finite substructures extends to an automorphism. This artic...
Dugald Macpherson