In this paper, we study Rota-Baxter operators and super O-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and L-dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras, Lie superalgebras and L-dendriform superalgebras. Moreover, we provide all Rota-Baxter operators of weight zero on complex pre-Lie superalgebras of dimensions 2 and 3.

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The purpose of this paper is to introduce and study 3 -Hom-Lie bialgebras, which are a ternary version of Hom-Lie bialgebras introduced by D. Yau. We provide their properties, some key constructions and their 3 -dimensional classification. Moreover we discuss their representation theory and their generalized derivations and coderivations. Furthermore, a more generalized notion called generalized 3 -Hom-Lie algebra is also considered.