Year: 2025
Type: article
Abstract: 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.
Source: Communications in Mathematics
DOI: 10.46298/cm.15974
Institution: Chirchik State Pedagogical University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415328020