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arXiv · 2401.06993

On the free metabelian Novikov and metabelian Lie-admissible algebras

A. Dauletiyarova·K. Abdukhalikov·B. K. Sartayev
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Abstract

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 both free metabelian Novikov and free metabelian Lie-admissible algebras. Additionally, we describe a space of symmetric polynomials for both the free metabelian Novikov algebra and the free metabelian Lie-admissible algebra.

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A. Dauletiyarova, K. Abdukhalikov, B. K. Sartayev. 2024-01-13. On the free metabelian Novikov and metabelian Lie-admissible algebras. https://doi.org/10.46298/cm.12877

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