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math.AC2020
Metrizability of spaces of valuation domains associated to pseudo-convergent sequences
Giulio Peruginelli, Dario Spirito
Let be a valuation domain of rank one with quotient field . We study the set of extensions of to the field of rational functions induced by pseudo-convergent sequ…
math.NT2020
On the Lucas and Lehmer sequences in Dedekind domains
Xiumei Li, Giulio Peruginelli, Min Sha
In this paper, we first obtain the strong divisibility property for the Lucas and Lehmer sequences in Dedekind domains, and then establish analogues of Zsigmondy's theorem and the…