4 found
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  1.  22
    On the decidability of the theory of modules over the ring of algebraic integers.Sonia L'Innocente, Carlo Toffalori & Gena Puninski - 2017 - Annals of Pure and Applied Logic 168 (8):1507-1516.
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  2.  9
    Decidability of the theory of modules over Prüfer domains with dense value groups.Lorna Gregory, Sonia L'Innocente & Carlo Toffalori - 2019 - Annals of Pure and Applied Logic 170 (12):102719.
    We provide algebraic conditions ensuring the decidability of the theory of modules over effectively given Prüfer (in particular Bézout) domains whose localizations at maximal ideals have dense value groups. For Bézout domains, these conditions are also necessary.
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  3.  11
    The torsion‐free part of the Ziegler spectrum of orders over Dedekind domains.Lorna Gregory, Sonia L'Innocente & Carlo Toffalori - 2020 - Mathematical Logic Quarterly 66 (1):20-36.
    We study the R‐torsion‐free part of the Ziegler spectrum of an order Λ over a Dedekind domain R. We underline and comment on the role of lattices over Λ. We describe the torsion‐free part of the spectrum when Λ is of finite lattice representation type.
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  4.  12
    Weakly minimal modules over integral group rings and over related classes of rings.Stefano Leonesi, Sonia L'Innocente & Carlo Toffalori - 2005 - Mathematical Logic Quarterly 51 (6):613-625.
    A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, Prüfer domains and integral group rings.
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