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math.LO2025
Quelques résultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs
Samuel Zamour
In line with known results on groups, we show the existence of the nilpotent radical in Lie rings with minimal condition on centralizers. We also prove a form of Engel's theorem if…
math.LO2023
Symétrons et K-boucles omega-stables
Samuel Zamour
We develop the model theory of omega-stable K-loops and 'symétrons'. Continuing Poizat's seminal work, we notably establish an appropriate version of the indecomposability theorem…