Study studies 3-BiHom-Poisson color algebras in relation to 3-BiHom-pre-Poisson structures, highlighting key representations.
The purpose of this paper is to introduce the class of 3-BiHom-Poisson color algebras, which is a combination of 3-BiHom-Lie color algebras and BiHom-associative color algebras under a compatibility condition, called BiHom-Leibniz color identity, and then study their representations and associated Kupershmidt operators. In addition, we introduce the notion of 3-BiHom-pre-Poisson color algebras and investigate the relationship between 3-BiHom-Poisson color algebras and 3-BiHom-pre-Poisson color algebras via Kupershmidt operators.
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Ncib et al. (2026) studied this question.
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