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» Model Companions of Theories with An Automorphism
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JSYML
2002
66views more  JSYML 2002»
13 years 4 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
APAL
2000
90views more  APAL 2000»
13 years 5 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»
13 years 5 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»
12 years 8 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