Hom-李Color代数的广义导子

Generalized Derivations of Hom-Lie Color Algebra

首先回忆与Hom-李color代数相关的概念,并且给出它的广义导子、拟导子、中心导子、型心和拟型心的定义。进一步地,研究这些导子之间的性质和联系。最后得到广义导子可以写成拟导子与拟型心之和。

Firstly, we recall some concepts associated with a Hom-Lie color algebra. Moreover, we give the definitions of the generalized derivations, quasi-derivations, center derivations, centroids and quasi-centroids. Furthermore, we investigate some properties and connections between these de-rivations. Finally, we obtain that the generalized derivations are equal to the sum of quasi-deriva- tions and quasi-centroids.