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arXiv · 1706.02188

BiHom-Lie colour algebras structures

Kadri Abdaoui·Abdelkader Ben Hassine·Abdenacer Makhlouf
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Abstract

BiHom-Lie Colour algebra is a generalized Hom-Lie Colour algebra endowed with two commuting multiplicative linear maps. The main purpose of this paper is to define representations and a cohomology of BiHom-Lie colour algebras and to study some key constructions and properties. Moreover, we discuss $\alpha^{k}\beta^l$-generalized derivations, $\alpha^{k}\beta^l$-quasi-derivations and $\alpha^{k}\beta^l$-quasi-centroid. We provide some properties and their relationships with BiHom-Jordan colour algebra.

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BibTeXRIS

Kadri Abdaoui, Abdelkader Ben Hassine, Abdenacer Makhlouf. 2017-06-06. BiHom-Lie colour algebras structures. https://arxiv.org/abs/1706.02188

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