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arXiv · 1910.02716

On certain class of Leibniz algebras

M. Jibladze·T. Pirashvili
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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algebra satisfying the identity: $$[[x,x],y]=0.$$ Based on properties of Leibniz homology, we give a proof an old and unpublished result of Mar\'ia Ronco, which describes free objects in these class of algebras.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.

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M. Jibladze, T. Pirashvili. 2019-10-07. On certain class of Leibniz algebras. https://arxiv.org/abs/1910.02716

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