Christian d'Elbée

activity

20182026

most citedForking, Imaginaries and other features of ACFG

6 citations · 13 across the 14 of their papers we have counts for

collaborators

Showing 2024Show all

4 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.RA2024

Wilson conjecture for omega-categorical Lie algebras, the case 4-Engel characteristic 3

Christian d'Elbée

We continue our study of the Wilson conjecture for $ω$ -categorical Lie algebras and prove that $ω$ -categorical $4$ -Engel Lie algebras of characteristic $3$ are nilpotent. We develo…

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★ 1 cited

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…