Abstract
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.
Acknowledgments
The authors would like to express their deep gratitude to the anonymous referee for a careful reading and valuable suggestions.