有限莫利阶的可溶性列环

arXiv - MATH - Rings and Algebras Pub Date : 2024-09-12 DOI:arxiv-2409.07783

Adrien Deloro, Jules Tindzogho Ntsiri

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摘要

我们要做两件事1.作为一个更强的线性化结果（定理 A）的推论，我们证明了关于李代数的 Lie-Kolchin-Malcevtheorem 的有限莫利秩版本（推论 A2）。2.我们对特征非 2、3 和莫利阶 2 的模块上的列环作用进行了分类（定理 B）。

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Soluble Lie rings of finite Morley rank

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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arXiv - MATH - Rings and Algebras

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