科研之友
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摘要
We uncover a natural relationship between the Northcott property for sets of algebraic numbers and the Julia Robinson number associated to sets of algebraic integers. This implies, in particular, that any subring of a ring of totally real integers having the Northcott property has undecidable first-order theory. Combining this theorem with previous results by the second author, we prove that the compositum of all totally real abelian extensions of Q of bounded degree d has undecidable first-order theory.
- 出版日期2016-2
