On the free metabelian transposed Poisson and F-manifold algebras

Published 10 Aug 2024 in math.RA | (2408.05512v1)

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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