2015/09/14 by Bing Sun, Liangyun Chen · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP
paper · pdf · doi:10.1016/j.geomphys.2015.08.011
published as Journal of Geometry and Physics98(2015),400-413 · arXiv admin note: substantial text overlap with arXiv:1306.1990, arXiv:1004.4795 by other authors
arxiv created 2015/09/14 · arxiv updated 2015/09/15
In this paper, we introduce the concepts of Rota-Baxter operators and differential operators with weights on a multiplicative n-ary Hom-algebra. We then focus on Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras and show that they can be derived from Rota-Baxter Hom-Lie algebras, Hom-preLie algebras and Rota-Baxter commutative Hom-associative algebras. We also explore the connections between these Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras.