On certain class of Leibniz algebras

Abstract

A Ronco algebra is a Leibniz algebra satisfying the identity: $$[[x,x],y]=0.$$ Based on properties of Leibniz homology, we give a proof an old and unpublished result of María Ronco, which describes free objects in these class of algebras. We also establish a relationship between Ronco algebras and so called Lie $\mu$-algebras extending our previous result.

Cited by in corpus (1)

• The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras