论文标题
HOM-MALCEV代数的树枝状化
Dendrification of Hom-Malcev algebras
论文作者
论文摘要
这项工作的主要目的是介绍HOM-M Dendriform代数的概念，该代数是HOM-MALCEV代数的树突状版本。实际上，它们是$ \ Mathcal {O} $ - Hom-Pre-Malcev代数的运营商背后的代数结构。它们也适合更大的框架，因为HOM-MALCEV代数类似物的HOM-L-Dendriform代数代数。此外，我们显示了HOM-M-Mentriform代数与HOM-ENTERTAINTE QUADRI-ELGEBRA之间的联系。
The main goal of this work is to introduce the notion of Hom-M-dendriform algebras which are the dendriform version of Hom-Malcev algebras. In fact they are the algebraic structures behind the $\mathcal{O}$-operator of Hom-pre-Malcev algebras. They also fit into a bigger framework as Hom-Malcev algebraic analogues of Hom-L-dendriform algebras. Furthermore, we show a connections between Hom-M-Dendriform algebras and Hom-alternative quadri-algebras.
