Abstract
–In this paper, we first introduce the notion of twisted Rota-Baxter operators on 3-Hom-Lie algebras and define a cohomology of twisted Rota-Baxter operators on 3-Hom-Lie algebras with coefficients in a suitable representation. Furthermore, we introduce and study 3-Hom-NS-Lie-algebras as the underlying structure of twisted Rota-Baxter operators on 3-Hom-Lie algebras. Finally, we investigate twisted Rota-Baxter operators on 3-Hom-Lie algebras induced by Hom-Lie algebras.
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