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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 -categorical -Engel Lie algebras over a field of characteristic : every -categorical Lie algebra over 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 -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…