{"title":"Soluble Lie rings of finite Morley rank","authors":"Adrien Deloro, Jules Tindzogho Ntsiri","doi":"arxiv-2409.07783","DOIUrl":null,"url":null,"abstract":"We do two things. 1. As a corollary to a stronger linearisation result\n(Theorem A), we prove the finite Morley rank version of the Lie-Kolchin-Malcev\ntheorem on Lie algebras (Corollary A2). 2. We classify Lie ring actions on\nmodules of characteristic not 2, 3 and Morley rank 2 (Theorem B).","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"75 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07783","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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