Binary perm algebras and alternative algebras

Binary perm algebras and alternative algebras

In this paper, we describe the defining identities of a variety of binary perm algebras which is a subvariety of the variety of alternative algebras. Moreover, we construct a basis of the free binary perm algebra. In addition, we describe subalgebras of binary perm algebras under commutator, which a...

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Veröffentlicht in:arXiv.org 2023-09
1. Verfasser: Sartayev, B K
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Commutators
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Zusammenfassung:In this paper, we describe the defining identities of a variety of binary perm algebras which is a subvariety of the variety of alternative algebras. Moreover, we construct a basis of the free binary perm algebra. In addition, we describe subalgebras of binary perm algebras under commutator, which are related to Malcev algebras.
ISSN:2331-8422