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. In addition, we construct a basis of the free binary perm algebra and find a complete list of identities which satisfy binary perm algebra under comm...

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Hauptverfasser: Kunanbayev, A, Sartayev, B. K
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Sprache:eng
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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. In addition, we construct a basis of the free binary perm algebra and find a complete list of identities which satisfy binary perm algebra under commutator.
DOI:10.48550/arxiv.2309.09503