On the free metabelian transposed Poisson and F-manifold algebras

On the free metabelian transposed Poisson and F-manifold algebras

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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Hauptverfasser: Abdukhalikov, K, Sartayev, B. K
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Rings and Algebras
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Zusammenfassung: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.
DOI:10.48550/arxiv.2408.05512