What type of study is this?

This is a Quantitative Study study.

October 9, 2025Open Access

Transposed δ-Poisson algebra structures on null-filiform associative algebras

Key Points

Transposed δ-poisson algebras of associative null-filiform algebras are fully characterized by polynomial roots.
These algebras arise from the polynomial equation δ³ - 3δ² + 2δ, revealing distinct classifications.
A complete classification corresponding to different δ values is provided for further mathematical exploration.
Trivial δ-poisson structures highlight underlying properties of null-filiform associative algebras identified in the study.

Abstract

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Daukeyeva et al. (Sat,) studied this question.

synapsesocial.com/papers/68e8439a9989581a2fd4e268 https://doi.org/https://doi.org/10.48550/arxiv.2507.10554

Bookmark

View Full Paper