English

On certain class of Leibniz algebras

K-Theory and Homology 2019-10-08 v1

Abstract

A Ronco algebra is a Leibniz algebra satisfying the identity: [[x,x],y]=0.[[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 Based on properties of Leibniz homology, we give a proof an old and unpublished result of Mar\'ia Ronco, which describes free objects in these class of algebras.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 μ\mu-algebras extending our previous result.

Keywords

Cite

@article{arxiv.1910.02716,
  title  = {On certain class of Leibniz algebras},
  author = {M. Jibladze and T. Pirashvili},
  journal= {arXiv preprint arXiv:1910.02716},
  year   = {2019}
}