Simple Lie rings of Morley rank 4 (The Spanish Inquisition)

We prove the Lie ring equivalent of the Cherlin-Zilber conjecture • in characteristic 0, for any rank and • in characteristic ≠2,3, for rank ⩽4. Both are notoriously open in the group case.

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Bibliographic Details
Published inJournal of algebra Vol. 651; pp. 243 - 280
Main Authors Deloro, Adrien, Tindzogho Ntsiri, Jules
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.08.2024
Elsevier
Subjects
Cherlin-Zilber conjecture
Mathematics
Modular Lie algebras
Morley rank
Cherlin-Zilber conjecture
Modular Lie algebras
Morley rank
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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 ≠2,3, for rank ⩽4. Both are notoriously open in the group case.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2024.04.012