Binary perm algebras and alternative algebras

Abstract: 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 the subalgebras of binary perm algebras under commutator which has a connection with Malcev algebras.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar