Transposed $\delta$-Poisson algebra structures on null-filiform associative algebras

In this paper, we consider transposed δ-Poisson algebras, which are a generalization of transposed Poisson algebras. In particular, we classify all transposed δ-Poisson structures on null-filiform associative algebras. 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.