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On BiHom-analogue of generalized Lie algebras

Published 29 Jan 2020 in math.RA, math-ph, and math.MP | (2001.10734v2)

Abstract: 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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