Simple Lie rings of Morley rank 4

We prove the Lie ring equivalent of the Cherlin-Zilber conjecture -- in characteristic 0, for any rank and -- in characteristic not 2, 3 for rank less than or equal to 4. Both are open in the group case.

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Bibliographic Details
Published inarXiv.org
Main Authors Deloro, Adrien, Ntsiri, Jules Tindzogho
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.09.2023
Subjects
Mathematics - Logic
Mathematics - Rings and Algebras
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Summary:We prove the Lie ring equivalent of the Cherlin-Zilber conjecture -- in characteristic 0, for any rank and -- in characteristic not 2, 3 for rank less than or equal to 4. Both are open in the group case.
ISSN:2331-8422
DOI:10.48550/arxiv.2309.12465