Model companions of theories with an automorphism
Copyright policy )Model companions of theories with an automorphism
AbstractFor a theory T in L, Tσ is the theory of the models of T with an automorphism σ. If T is an unstable model complete theory without the independence property, then Tσ has no model companion. If T is an unstable model complete theory and Tσ has the amalgamation property, then Tσ has no model companion. If T is model complete and has the fcp, then Tσ has no model completion.
- Tokai University Japan
model companion, amalgamation property, model complete theory, FOS: Mathematics, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, Logic (math.LO), independence property, finite cover property, theories with an automorphism
model companion, amalgamation property, model complete theory, FOS: Mathematics, Mathematics - Logic, Classification theory, stability, and related concepts in model theory, Logic (math.LO), independence property, finite cover property, theories with an automorphism
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