兼容三维 Leibniz 代数上某些算子分类
环与代数
2025-03-31 v1
摘要
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.
引用
@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}
}
备注
arXiv admin note: substantial text overlap with arXiv:2311.12178