论文标题
构造和$ t^{\ ast} $ - 3-bihom-lie Superalgebras的扩展
Constructions and $T^{\ast}$-Extensions of 3-Bihom-Lie Superalgebras
论文作者
论文摘要
本文的目的是概括$ 3 $ -bihom-lie Superalgebras的构建，我们提供了一些属性，可以提起其$ t^{\ ast} $ - 分机，例如niltotency，solvisity and Demotsions。我们研究表示的表示，$t_θ$ - extensions和$ t^{\ ast}_θ$ - $ 3 $ -bihom-bihom-lie Superalgebras的extension，并证明了$ 2n $ -dimensional Quadratic $ 3 $ -Bihom-lie-lie-lie-lie-lie-lie superalgebra的必要条件，对$ t^$ tement to $ tement to $ tement a $ t^{
The aim of this paper is to generalise the construction of $3$-Bihom-Lie superalgebras and we provide some properties can be lifted to its $T^{\ast}$-extensions such as nilpotency, solvability and decomposition. We study the representations, $T_θ$-extensions and $T^{\ast}_θ$-extension of $3$-Bihom-Lie superalgebras and prove the necessary and sufficient conditions for a $2n$-dimensional quadratic $3$-Bihom-Lie superalgebra to be isomorphic to a $T^{\ast}_θ$-extension.
