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arXiv · 1906.03902

Decidability of the theory of modules over Pr\"ufer domains with dense value groups

Lorna Gregory·Sonia L'Innocente·Carlo Toffalori
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Abstract

We provide algebraic conditions ensuring the decidability of the theory of modules over effectively given Pr\"ufer (in particular B\'ezout) domains whose localizations at maximal ideals have dense value groups. For B\'ezout domains, these conditions are also necessary.

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Lorna Gregory, Sonia L'Innocente, Carlo Toffalori. 2019-06-10. Decidability of the theory of modules over Pr\"ufer domains with dense value groups. https://doi.org/10.1016/j.apal.2019.102719

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