Hom-L-dendriform代数和Hom-L-quadri代数分别是由L-dendriform代数和L-quadri代数通过代数形变得出的。引入Hom-L-dendriform代数和Hom-L-quadri代数的定义,给出了利用L-dendriform代数以及L-dendriform代数上的代数同态构造Hom-L-dendriform代数的方法,同时给出利用Lquadri代数以及L-quadri代数上的代数同态构造Hom-L-quadri代数的方法,最后给出Hom-pre-Lie代数、Hom-L-dendriform代数和Hom-L-quadri代数之间的关系。
Hom-L-dendriform algebras and Hom-L-quadri-algebras are the deformation of L-dendriform algebras and L-quadri-algebras respectively. The definition of Hom-L-dendriform algebra and Hom-L-quadri-algebra was introduced,and the method constructing Hom-L-dendriform algebra by an L-dendriform algebra and an algebra homomorphism,together with the method constructing Hom-L-quadri-algebra by an L-quadri-algebra and an algebra homomorphism were given.After that,the relationship among Hom-pre-Lie algebra,Hom-L-dendriform algebra and Hom-L-quadri-algebra were got.