论文标题
关于rota-baxter和nijenhuis抗烟叶代数
On Rota-Baxter and Nijenhuis anti-flexible algebras
论文作者
论文摘要
我们定义并得出rota-baxter操作员概念在抗燃烧的代数上的基本特性。抗富含代数的结构和相关的左（右） - 对称代数是由给定的rota-baxter操作员在抗柔性代数上构建的。 $ \ MATHCAL {O} $ - 反弹性代数的操作员被召回并用于构建左（右） - 对称代数以及相关属性。此外，我们引入了nijenhuis抗芬芳代数并得出相关特性。抗芬太语代数的nijenhuis操作员用于构建前富含代数的结构和相关的左（右） - 对称代数。
We define and derive basic properties of the notion of Rota-Baxter operator on anti-flexible algebra. Pre-anti-flexible algebra structure and associated left(right)-symmetric algebra are constructed from a given Rota-Baxter operator on an anti-flexible algebra. The notion of $\mathcal{O}$-operator on anti-flexible algebra are recalled and use to build left(right)-symmetric algebra as well as related properties. Furthermore, we introduce Nijenhuis anti-flexible algebra and derive associated properties. Nijenhuis operator on anti-flexible algebra is used to build pre-anti-flexible algebra structure and related left(right)-symmetric algebra.
