Unary and binary Leibniz algebras

Published 24 Oct 2020 in math.RA | (2010.12936v1)

Abstract: An algebra is said to be a unary Leibniz algebra if every one-generated subalgebra is a Leibniz algebra. An algebra is said to be a binary Leibniz algebra if every two-generated subalgebra is a Leibniz algebra. We give characterizations of unary and binary Leibniz algebras in terms of identities.

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