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

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• 作者：Bing Sun ; Liangyun Chen ; ^{chenly640@nenu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：16W20 ; 05B07
• 刊名：Journal of Geometry and Physics
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：98
• 期：Complete
• 页码：400-413
• 全文大小：426 K

文摘

In this paper, we introduce the concepts of Rota–Baxter operators and differential operators with weights on a multiplicative n$n$-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.