Hom-Lie Algebroids And Hom-left-symmetric Algebroids

In this paper,we firstly study some basic properties of hom-Lie algebroids,including the morphism,a representation,derivations etc.In particular,we construct several examples of hom-Lie algebroids by the representation's definition,which has been given.Then,the notion of a hom-left-symmetric algebroid is introduced,thus we get the relation of a hom-Lie algebroid with a hom-left-symmetric algebroid and its several basic properties.Furthermore,a representation and the corresponding cohomology of a hom-leftsymmetric algebroid are also studied.