Soluble Lie rings of finite Morley rank
Logic
2025-04-16 v1 Rings and Algebras
Abstract
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).
Cite
@article{arxiv.2409.07783,
title = {Soluble Lie rings of finite Morley rank},
author = {Adrien Deloro and Jules Tindzogho Ntsiri},
journal= {arXiv preprint arXiv:2409.07783},
year = {2025}
}