2025/03/27 by Kol Béatrice Gamou, Gamou, Kol Béatrice, Ahmed Zahari Abdou +3
Mathematics · #17A40 #17A99 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Holomorphic and Operator Theory #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2503.21978
openalex publication_date 2025/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.