On BiHom-analogue of generalized Lie algebras

preprint2021arXivOpen access

In this paper, we introduce the definition of generalized BiHom-Lie algebras and generalized BiHom-Lie admissible algebras in the category ${}_H{\mathcal M}$ of left modules for any quasitriangular Hopf algebra $(H, R)$ . Also, we describe the BiHom-Lie ideal structures of the BiHom-associative algebras.

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On BiHom-analogue of generalized Lie algebras

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