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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Koenigsmann, J
Fformat:	Journal article
Cyhoeddwyd:	Princeton University, Department of Mathematics 2016

Eitemau Tebyg

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