Bihom-pre-Lie superalgebras and related structures

Abstract

Throughout this paper, we will study Rota-Baxter operators and super $\mathcal{O}$-operator of BiHom-associative superalgebras, BiHom-Lie superalgebras, BiHom-pre-Lie superalgebras and BiHom-$L$-dendriform superalgebras. Then we give some properties of BiHom-pre-Lie superalgebras constructed from BiHom-associative superalgebras, BiHom-Lie superalgebras and BiHom-$L$-dendriform superalgebras.

Keywords

• BiHom-Lie superalgebras
• BiHom-pre-Lie superalgebras
• BiHom-L-dendriform superalgebras
• representation
• Rota-Baxter

References

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