预李H-伪代数的推广

The Generalization of Pre-Lie H-pseudoalgebras

作为预李H-伪代数和Hom-预李代数的推广,首先给出Hom-预李H-伪代数的定义。其次,给出Hom-预李H-伪代数的构造定理,并且得到一类Hom-预李H-伪代数。最后从Hom-预李H-伪代数出发构造Hom-李H-伪代数。

In this paper,we first give the definition of Hom-pre-Lie H-pseudoalgebras,as the generalization of pre-Lie H-pseudoalgebras and Hom-pre-Lie algebra.Then we give the construction of Hom-pre-Lie H-pseudoalgebras,and obtain a class of Hom-pre-Lie H-pseudoalgebras.Finally,we construct Hom-Lie H-pseudoalgebras from Hom-pre-Lie H-pseudoalgebras.