On nilpotency in Leibniz algebras
C. J. A. B\'er\'e, M. F. Ouedraogo, M. Ouattara

TL;DR
This paper proves that right nilpotent Leibniz algebras are also strongly nilpotent, with an explicit bound on the degree of strong nilpotency related to the degree of right nilpotency.
Contribution
It establishes a quantitative relationship between right nilpotency and strong nilpotency in Leibniz algebras, providing a new bound on the latter.
Findings
Right nilpotent Leibniz algebras are strongly nilpotent.
The degree of strong nilpotency is at most 4n^2 - 2n + 1 for a right nilpotent algebra of degree n.
The result offers a concrete bound linking two types of nilpotency in Leibniz algebras.
Abstract
The main result of this paper is to prove that if a (right) Leibniz algebra is \textit{right nilpotent} of degree , then is \textit{strongly nilpotent} of degree less or equal to .
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models
