Classification of some operators on compatible ternary Leibniz algebras
Rings and Algebras
2025-03-31 v1
Abstract
In this paper, we establish some basic properties of certain operators (element of centroids, averaging operators, derivations, Nijenhuis operators, Rota-Baxter operators) on (compatible) ternary Leibniz algebras and give the classification of ternary Leibniz algebras, classification of compatible ternary Leibniz algebras. Then, we give the descriptions of operators on found elements of these classifications.
Keywords
Cite
@article{arxiv.2503.21978,
title = {Classification of some operators on compatible ternary Leibniz algebras},
author = {Kol Béatrice Gamou and Ahmed Zahari Abdou and Ibrahima Bakayoko},
journal= {arXiv preprint arXiv:2503.21978},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2311.12178