Binary perm algebras and alternative algebras

Published 18 Sep 2023 in math.RA | (2309.09503v2)

Abstract: 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.

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