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Classification of some operators on compatible ternary Leibniz algebras (2503.21978v1)
Published 27 Mar 2025 in math.RA
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.