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arXiv · 2310.14363

Dense pairs of rings

Françoise Point
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Abstract

Outside of the framework of geometric theories, we exhibit complete, respectively model-complete theories of rings whose corresponding theory of pairs is complete, respectively model-complete, using transfer results proven in the seventies for boolean products of structures. It includes certain boolean products of pairs of dp-minimal fields of characteristic $0$. We also show, as in the case of pairs of fields, how it fits in the framework of differential rings.

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Françoise Point. 2023-10-22. Dense pairs of rings. https://arxiv.org/abs/2310.14363

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