On the free metabelian transposed Poisson and F-manifold algebras
Abdukhalikov K. Sartayev B.
1 July 2025World Scientific
Asian-European Journal of Mathematics
2025#18Issue 7
In this paper, we consider free transposed Poisson and free F-manifold algebras with an additional metabelian identity. We construct a linear basis for both free metabelian transposed Poisson and free metabelian F-manifold algebras.
F-manifold algebra , free algebra , metabelian identity , polynomial identities , Transposed Poisson algebra
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Department of Mathematical Sciences, UAE University, Al Ain, United Arab Emirates
School of Digital Technology, Narxoz University, Almaty, Kazakhstan
Department of Mathematical Sciences
School of Digital Technology
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