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arXiv · 2503.21978

Classification of some operators on compatible ternary Leibniz algebras

Kol Béatrice Gamou·Ahmed Zahari Abdou·Ibrahima Bakayoko
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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.

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Kol Béatrice Gamou, Ahmed Zahari Abdou, Ibrahima Bakayoko. 2025-03-27. Classification of some operators on compatible ternary Leibniz algebras. https://arxiv.org/abs/2503.21978

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