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arXiv · 2107.05152

Decidability for the theory of modules over a Pr\"ufer domain

Lorna Gregory
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Abstract

In this paper we give elementary conditions completely characterising when the theory of modules of a Pr\"ufer domain is decidable. Using these results, we show that the theory of modules of the ring of integer valued polynomials is decidable.

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Lorna Gregory. 2021-07-11. Decidability for the theory of modules over a Pr\"ufer domain. https://doi.org/10.1093/imrn%2Frnac318

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