1 citations · 2 across the 3 of their papers we have counts for
4 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…
Cartan subrings in soluble ranked Lie rings
Jules Tindzogho Ntsiri, Samuel Zamour
We prove the existence of Cartan subrings, i.e., self-normalizing nilpotent subrings in soluble ranked Lie rings.
Soluble Lie rings of finite Morley rank
Adrien Deloro, Jules Tindzogho Ntsiri
We do two things. 1. As a corollary to a stronger linearisation result (Theorem A), we prove the finite Morley rank version of the Lie-Kolchin-Malcev theorem on Lie algebras (Corol…
Simple Lie rings of Morley rank 4
Adrien Deloro, Jules Tindzogho Ntsiri
We prove the Lie ring equivalent of the Cherlin-Zilber conjecture -- in characteristic 0, for any rank and -- in characteristic not 2, 3 for rank less than or equal to 4. Both are…