论文标题
$ n $ hom-hom-nambu superalgebras的广义推导和rota-baxter操作员
Generalized Derivations and Rota-Baxter Operators of $n$-ary Hom-Nambu Superalgebras
论文作者
论文摘要
本文的目的是通过$（n-2）$ - 给定的hom-lie代数的$（n-2）$ coch来概括$ n $ hom-hom-lie括号的构建，从而诱发了$ n $ n $ -hom-hom-lie superalgebras。我们研究了$ n $ hom-hom-nambu和$ n $ -hom-lie Superalgebras的广义推导和Rota-baxter操作员的概念，以及它们与Hom-Lie Superalgebras的广义推导和Rota-Baxter操作员的关系。我们还介绍了$ 3 $ -HOM-pre-lie Superalgebras的概念，这是$ 3 $ -HOM-hom-pre-lie代数的概括。
The aim of this paper is to generalise the construction of $n$-ary Hom-Lie bracket by means of an $(n-2)$-cochain of given Hom-Lie algebra to super case inducing a $n$-Hom-Lie superalgebras. We study the notion of generalized derivation and Rota-Baxter operators of $n$-ary Hom-Nambu and $n$-Hom-Lie superalgebras and their relation with generalized derivation and Rota-Baxter operators of Hom-Lie superalgebras. We also introduce the notion of $3$-Hom-pre-Lie superalgebras which is the generalization of $3$-Hom-pre-Lie algebras.
