11 citations · 11 across the 2 of their papers we have counts for
5 papers
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 -categorical -Engel Lie algebras of characteristic are nilpotent, yielding a ca…
Shirshov's amalgamated free product and generic nilpotent groups
Christian d'Elbée, Isabel Müller, Nicholas Ramsey +1
In earlier work, the authors gave a construction and description of an amalgamated free product of filtered Lie algebras within a fixed nilpotency class, based on an intricate indu…
Generic expansion of an abelian variety by a subgroup
Christian d'Elbée
Let be an abelian variety in a field of characteristic . We prove that the expansion of by a generic divisible subgroup of with the same torsion exists provided …
Generic Expansions by a Reduct
Christian d'Elbée
Consider the expansion of a theory by a predicate for a submodel of a reduct of . We present a setup in which this expansion admits a model companion . We sh…
A new dp-minimal expansion of the integers
Eran Alouf, Christian d'Elbée
We consider the structure , where means and is the -adic valuation. We prove that its theory…