Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.06230 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910881646903296 |
|---|---|
| author | Zamour, Samuel |
| author_facet | Zamour, Samuel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06230 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quelques résultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs Zamour, Samuel Logic Rings and Algebras 17B65, 03C60 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. |
| title | Quelques résultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs |
| topic | Logic Rings and Algebras 17B65, 03C60 |
| url | https://arxiv.org/abs/2503.06230 |