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math.RA2024
On the free metabelian transposed Poisson and F-manifold algebras
K. Abdukhalikov, B. K. Sartayev
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…
math.RA2024★ 6 cited
On the free metabelian Novikov and metabelian Lie-admissible algebras
A. Dauletiyarova, K. Abdukhalikov, B. K. Sartayev
In this paper, we consider Lie-admissible algebras, which are free Novikov and free Lie-admissible algebras with an additional metabelian identity. We construct a linear basis for…