Bihom-pre-Lie superalgebras and related structures

Year 2022, Volume: 51 Issue: 5, 1385 - 1402, 01.10.2022

Othmen Ncib

https://doi.org/10.15672/hujms.1035821

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

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