On BiHom-analogue of generalized Lie algebras

Abstract

In this paper, we introduce the definition of generalized BiHom-Lie algebras and generalized BiHom-Lie admissible algebras in the category H 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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