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arXiv · 2304.02165

Remarks on undecidability of indecomposable polynomial rings

Marco Barone·Nicolás Caro-Montoya·Eudes Naziazeno
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Abstract

We prove that arithmetic is interpretable in any indecomposable polynomial ring (in any set of variables), and in addition we provide an alternative uniform proof of undecidability for all members in this class of rings.

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Marco Barone, Nicolás Caro-Montoya, Eudes Naziazeno. 2023-04-04. Remarks on undecidability of indecomposable polynomial rings. https://arxiv.org/abs/2304.02165

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