A. Dauletiyarova ; K. Abdukhalikov ; B. K. Sartayev
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On the free metabelian Novikov and metabelian Lie-admissible algebras
cm:12877 -
Communications in Mathematics,
May 9, 2024,
Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
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https://doi.org/10.46298/cm.12877On the free metabelian Novikov and metabelian Lie-admissible algebrasArticle
Authors: A. Dauletiyarova ; K. Abdukhalikov ; B. K. Sartayev
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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 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.
Comment: 10 p, Journal version
Volume: Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)
Published on: May 9, 2024
Accepted on: April 13, 2024
Submitted on: January 17, 2024
Keywords: Mathematics - Rings and Algebras