On the free metabelian transposed Poisson and F-manifold algebras

2024/08/10 by Abdukhalikov, K., Sartayev, B. K. · 1 citation
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2408.05512

Abstract

In this paper, we consider free transposed Poisson algebra and free F-manifold algebra with an additional metabelian identity. We construct a linear basis for both free metabelian transposed Poisson algebra and free metabelian F-manifold algebra.

Cited by

• Free Algebras in Mal'cev-Type Subvarieties of Associative Algebras

Related

• Word problem for finitely presented metabelian Poisson algebras
• Transposed Poisson superalgebra
• δ-Poisson and transposed δ-Poisson algebras
• Nijenhuis deformations of Poisson algebras and F-manifold algebras
• On the simple transposed Poisson algebras and Jordan superalgebras