On the free metabelian Novikov and metabelian Lie-admissible algebras

Dauletiyarova A. Abdukhalikov K. Sartayev B.
2025 Episciences

Communications in Mathematics
2025 #33 Issue 3 Special issue

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.

free algebra , Lie-admissible algebra , metabelian identity , Novikov algebra , polynomial identities

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SDU University, Kaskelen, Kazakhstan
UAE University, Al Ain, United Arab Emirates
Narxoz University, Almaty, Kazakhstan

SDU University
UAE University
Narxoz University

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