Abstract
We introduce the class of split regular BiHom-Leibniz color algebras as the natural generalization of split regular Hom-Leibniz algebras. By developing techniques of connections of roots for this kind of algebra, we show that such a split regular BiHom-Leibniz color algebra is of the form , with a subspace of the abelian subalgebra and any , a well-described ideal of , satisfying if . Under certain conditions, in the case of being of maximal length, the simplicity and the primeness of the algebra is characterized.
Citation
Valiollah Khalili. "The structure of split regular BiHom-Leibniz color algebras." Rocky Mountain J. Math. 50 (4) 1369 - 1386, August 2020. https://doi.org/10.1216/rmj.2020.50.1369
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