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arXiv · 2409.07783

Soluble Lie rings of finite Morley rank

Adrien Deloro·Jules Tindzogho Ntsiri
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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).

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Adrien Deloro, Jules Tindzogho Ntsiri. 2024-09-12. Soluble Lie rings of finite Morley rank. https://doi.org/10.2140/mt.2025.4.163

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