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

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-08
Primary Topic
Advanced Topics in Algebra
Type
article
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article

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

ArXiv.org
Advanced Topics in Algebra
article

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

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 37%
Advanced Topics in Algebra
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Quelques r\'esultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs · ArXiv.org (2025) | TGRS Research Map | TGRS