Splitting of operations for Hom-diassociative and Hom-triassociative Algebras

Abstract: Hom-quadri dendriform algebras and Hom-six-dendriform agebras are introduced and studied which is a splitting of a Hom-diassociative and Hom-triassociative algebras, respectively. Moreover we explore the connections be tween these categories of Hom-algebras. Finally, we elaborate a classification of Hom-quadri-dendriform algebras in low dimensional.