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

In this paper, we consider transposed -Poisson algebras, which are a generalization of transposed Poisson algebras.In particular, we classify all transposed -Poisson structures on null-filiform associative algebras.A complete classification of transposed -Poisson algebras corresponding to each value of the parameter is provided.Furthermore, we construct all -Poisson algebra structures on null-filiform associative algebras, and show that they are trivial -Poisson algebras.Contents 1 Introduction 2 Preliminaries 2.1 Transposed Poisson algebra structures on null-filiform associative algebras .3 Transposed -Poisson algebra structures 3.1 Transposed 0-Poisson algebra structures on null-filiform associative algebras 3.2 Transposed 1-Poisson algebra structures on null-filiform associative algebras 3.3 Transposed -Poisson algebra structures on null-filiform associative algebras 4 -Poisson algebra structures on null-filiform associative algebras MSC 2020: