In this paper, we consider transposed δ-Poisson algebras, which are a generalization of transposed δ-Poisson algebras. In particular, we describe all transposed δ-Poisson algebras of associative null-filiform algebras. It can be seen that these algebras are characterized by the roots of the polynomial δ³ - 3δ² + 2δ. A complete classification of transposed δ-Poisson algebras corresponding to each value of the parameter δ is provided. Furthermore, we construct all δ-Poisson algebra structures on null-filiform associative algebras, and show that they are trivial δ-Poisson algebras.
Daukeyeva et al. (Sat,) studied this question.