# On universal central extensions of Hom_Leibniz algebras

@article{Casas2012OnUC,
title={On universal central extensions of Hom\_Leibniz algebras},
author={Jos{\'e} Manuel Casas and Manuel A. Insua and N. Pacheco Rego},
journal={arXiv: Rings and Algebras},
year={2012}
}
• Published 27 September 2012
• Mathematics
• arXiv: Rings and Algebras
In the category of Hom-Leibniz algebras we introduce the notion of representation as adequate coefficients to construct the chain complex to compute the Leibniz homology of Hom-Leibniz algebras. We study universal central extensions of Hom-Leibinz algebras and generalize some classical results, nevertheless it is necessary to introduce new notions of $\alpha$-central extension, universal $\alpha$-central extension and $\alpha$-perfect Hom-Leibniz algebra. We prove that an $\alpha$-perfect Hom…
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