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Preprint Number 240
240. Martin Hils
Generic Automorphisms and Green Fields
Submission date: 29 March 2010.
We show that the generic automorphism is
axiomatisable in the
green field of Poizat (once Morleyised) as well as in the bad fields which are
obtained by collapsing this green field to finite Morley rank. As a corollary,
we obtain ābad pseudofinite fieldsā in characteristic 0.
Mathematics Subject Classification: Primary: 03C45; Secondary: 03C35, 03C60, 03C65.
Keywords and phrases: Model Theory, Bad Field, Generic Automorphism, Hrushovski Construction.
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