论文标题
3-bihom-lie代数的构建
The construction of 3-Bihom-Lie algebras
论文作者
论文摘要
本文的目的是研究$ 3 $ -BIHOM-LIE代数的构建。我们提供了一些方法，可以从$ 3 $ -BIHOM-LIE代数和$ 3 $ the Bihom-bihom-sassociative代数来构建$ 3 $ -BIHOM-LIE代数。此外，我们引入了$t_θ$ - 延伸和$t_θ^*$ - $ 3 $ -BIHOM-LIE代数的扩展名，并证明了$ 2N $二维Quadratic $ 3 $ -BIHOM-LIE代数的必要条件，对$ -BIHOM-LIE代数对$ t_ to $ t_t_t_t_t_t_t_ the to Isomorphic。
The purpose of this paper is to study the construction of $3$-Bihom-Lie algebras. We give some ways of constructing $3$-Bihom-Lie algebras from $3$-Bihom-Lie algebras and $3$-totally Bihom-associative algebras. Furthermore, we introduce $T_θ$-extensions and $T_θ^*$-extensions of $3$-Bihom-Lie algebras and prove the necessary and sufficient conditions for a $2n$-dimensional quadratic $3$-Bihom-Lie algebra to be isomorphic to a $T_θ^*$-extension.
