On certain class of Leibniz algebras

Autor: Jibladze, M., Pirashvili, T.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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algebra satisfying the identity: $$[[x,x],y]=0.$$ Based on properties of Leibniz homology, we give a proof an old and unpublished result of Mar\'ia Ronco, which describes free objects in these class of algebras.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.
Databáze: arXiv