On the free metabelian Novikov and metabelian Lie-admissible algebras
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...
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| Veröffentlicht in: | Communications in Mathematics 2025, Vol.33 (2025), Issue 3... |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 2336-1298 2336-1298 |
| DOI: | 10.46298/cm.12877 |