Cartan subrings in soluble ranked Lie rings

2025/11/25 by Ntsiri, Jules Tindzogho, Zamour, Samuel
#03C60 #17B65 #FOS: Mathematics #Logic (math.LO) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2511.20323

Abstract

We prove the existence of Cartan subrings, i.e., self-normalizing nilpotent subrings in soluble ranked Lie rings.

Citations

• Quelques résultats sur les anneaux de Lie qui n ' ont pas de chaine infinie de centralisateurs
• Simple Lie rings of Morley rank 4

Related

• Counting subrings of \mathbb Zⁿ of non-zero co-rank
• Global coefficient ring in the nilpotence conjecture
• Lie rings in finite-dimensional theories
• Lie Pseudogroups à la Cartan
• Classification of braces of cardinality p⁴