Quelques r\'esultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs
Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Zamour, Samuel
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979280117
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