# On the free metabelian transposed Poisson and F-manifold algebras

Source: [On the free metabelian transposed Poisson and F-manifold algebras](<https://www.sota2.com/research/paper/68fa5c2a1e209131ce9ce7dc>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T17:28:28.196Z

Authors: K. Abdukhalikov, B. K. Sartayev

Published: 2024-08-10T10:42:16.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2408.05512>)

[PDF](<https://arxiv.org/pdf/2408.05512.pdf>)