Defining ℤ in ℚ

Defining ℤ in ℚ

We show that Z is definable in Q by a universal first-order formula in the language of rings. We also present an ∀∃-formula for Z in Q with just one universal quantifier. We exhibit new diophantine subsets of Q like the complement of the image of the norm map under a quadratic extension, and we give...

书目详细资料
主要作者:	Koenigsmann, J
格式:	Journal article
出版:	Princeton University, Department of Mathematics 2016

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