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arXiv · 2503.06230

Quelques r\'esultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs

Samuel Zamour
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Abstract

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 the characteristic is zero.

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Samuel Zamour. 2025-03-08. Quelques r\'esultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs. https://arxiv.org/abs/2503.06230

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