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Preprint Number 603
603. Alexandra Shlapentokh Divisibility of Order and First Order Definability and Decidability
in
Infinite Algebraic Extensions of Rational Numbers E-mail: Submission date: 2 July 2013. Abstract: We extend results of Videla and Fukuzaki to define algebraic integers in
large classes of infinite algebraic extensions of Q and use these
definitions for some of these fields to show first-order undecidability. In
particular, we show that the following propositions hold. Mathematics Subject Classification: 11U05 Keywords and phrases: |

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