Nilpotence dans les alg\`ebres de Malcev
C. J. A. B\'er\'e, N. B. Pilabr\'e, M. Ouattara

TL;DR
This paper proves that right nilpotent Malcev algebras are also strongly nilpotent, establishing an explicit upper bound on the degree of strong nilpotency based on the degree of right nilpotency.
Contribution
It provides a new upper bound linking right nilpotency and strong nilpotency in Malcev algebras, enhancing understanding of their structural properties.
Findings
Right nilpotent Malcev algebras are strongly nilpotent.
The degree of strong nilpotency is at most 4n^2 - 2n + 1 for degree n right nilpotency.
Establishes a quantitative relationship between different types of nilpotency.
Abstract
The main result is to prove that if a Malcev algebra is \textit{right nilpotent} of degree , then is \textit{strongly nilpotent} of degree less or equals to .
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models
