Soluble Lie rings of finite Morley rank
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916689933762560 |
|---|---|
| author | Deloro, Adrien Ntsiri, Jules Tindzogho |
| author_facet | Deloro, Adrien Ntsiri, Jules Tindzogho |
| contents | We do two things. 1. As a corollary to a stronger linearisation result (Theorem A), we prove the finite Morley rank version of the Lie-Kolchin-Malcev theorem on Lie algebras (Corollary A2). 2. We classify Lie ring actions on modules of characteristic not 2, 3 and Morley rank 2 (Theorem B). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07783 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Soluble Lie rings of finite Morley rank Deloro, Adrien Ntsiri, Jules Tindzogho Logic Rings and Algebras 17B50, 20F11, 03C60 We do two things. 1. As a corollary to a stronger linearisation result (Theorem A), we prove the finite Morley rank version of the Lie-Kolchin-Malcev theorem on Lie algebras (Corollary A2). 2. We classify Lie ring actions on modules of characteristic not 2, 3 and Morley rank 2 (Theorem B). |
| title | Soluble Lie rings of finite Morley rank |
| topic | Logic Rings and Algebras 17B50, 20F11, 03C60 |
| url | https://arxiv.org/abs/2409.07783 |