Christian d'Elbée

activity

20182026

collaborators

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5 papers · 1 filter

math.LO2024

Wilson conjecture for omega-categorical Lie algebras, the case 3-Engel characteristic 5

Christian d'Elbée

We prove a version of the Wilson conjecture for $ω$ -categorical $3$ -Engel Lie algebras over a field of characteristic $5$ : every $ω$ -categorical Lie algebra over $F_{5}$ whi…

math.LO2024

A two-sorted theory of nilpotent Lie algebras

Christian d'Elbée, Isabel Müller, Nicholas Ramsey +1

We prove the existence of a model companion of the two-sorted theory of $c$ -nilpotent Lie algebras over a field satisfying a given theory of fields. We describe a language in which…

math.LO2024

The classification of dp-minimal integral domains

Christian d'Elbée, Yatir Halevi, Will Johnson

We classify dp-minimal integral domains, building off the existing classification of dp-minimal fields and dp-minimal valuation rings. We show that if R is a dp-minimal integral do…

math.LO2020

Dp-minimal integral domains

Christian d'Elbée, Yatir Halevi

It is shown that every dp-minimal integral domain $R$ is a local ring and for every non-maximal prime ideal $p$ of $R$ , the localization $R_{p}$ is a valuatio…

math.LO2018

Forking, Imaginaries and other features of ACFG

Christian d'Elbée

We study the generic theory of algebraically closed fields of fixed positive characteristic with a predicate for an additive subgroup, called $ACFG$ . This theory was intro…