On the generalized Poisson and transposed Poisson algebras

2025

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DOI 10.1142/s0219498826502683
Data confidence 70 medium
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Abstract

We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Itô’s theorem holds for generalized Poisson algebras.