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  1. Diophantine undecidability in some rings of algebraic numbers of totally real infinite extensions of Q.Alexandra Shlapentokh - 1994 - Annals of Pure and Applied Logic 68 (3):299-325.
    This paper provides the first examples of rings of algebraic numbers containing the rings of algebraic integers of the infinite algebraic extensions of where Hilbert's Tenth Problem is undecidable.
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