Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras

Abstract

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.

arXiv admin note: substantial text overlap with arXiv:1306.1990, arXiv:1004.4795 by other authors

References in corpus (6)

• Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT
• Differential Type Operators and Gröbner-Shirshov Bases
• Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion
• From Rota-Baxter Algebras to Pre-Lie Algebras
• Generalizations of the classical Yang-Baxter equation and O-operators
• Constructing 3-Lie algebras

Cited by in corpus (3)

• $3$-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras
• Split Regular $Hom$-Leibniz Color $3$-Algebras
• The constructions of 3-Hom-Lie bialgebras