Christian d'Elb'ee

activity

20172026

most citedA new dp-minimal expansion of the integers

11 citations · 11 across the 2 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.LO2026

A Dubnov-Ivanov-Nagata-Higman Theorem for NIP nilrings

Christian d'Elbée, Yanis Davoust, Jules Tindzogho Ntsiri

We prove that NIP nilrings of bounded nilexponent are nilpotent. We also deduce that NIP $ω$ -categorical $n$ -Engel Lie algebras of characteristic $p > n$ are nilpotent, yielding a ca…

math.LO2019

Generic expansion of an abelian variety by a subgroup

Christian d'Elbée

Let $A$ be an abelian variety in a field of characteristic $0$ . We prove that the expansion of $A$ by a generic divisible subgroup of $A$ with the same torsion exists provided $A$ …

math.LO2018

Generic Expansions by a Reduct

Christian d'Elbée

Consider the expansion $T_{S}$ of a theory $T$ by a predicate for a submodel of a reduct $T_{0}$ of $T$ . We present a setup in which this expansion admits a model companion $T S$ . We sh…

math.LO2017★ 11 cited

A new dp-minimal expansion of the integers

Eran Alouf, Christian d'Elbée

We consider the structure $(Z, +, 0, ∣_{p_{1}}, \dots, ∣_{p_{n}})$ , where $x ∣_{p} y$ means $v_{p} (x) \leq v_{p} (y)$ and $v_{p}$ is the $p$ -adic valuation. We prove that its theory…