Cartan subrings in soluble ranked Lie rings
Jules Tindzogho Ntsiri, Samuel Zamour
TL;DR
This paper establishes the existence of Cartan subrings, which are self-normalizing nilpotent subrings, within soluble ranked Lie rings, advancing the structural understanding of these algebraic objects.
Contribution
It proves the existence of Cartan subrings in soluble ranked Lie rings, a new result in the structural theory of Lie rings.
Findings
Cartan subrings exist in soluble ranked Lie rings
Self-normalizing nilpotent subrings are present in these structures
Advances understanding of Lie ring structure
Abstract
We prove the existence of Cartan subrings, i.e., self-normalizing nilpotent subrings in soluble ranked Lie rings.
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