On universal $\alpha$-central extensions of Hom-preLie algebras

Bing Sun; Liangyun Chen; Xin Zhou

On universal $\alpha$-central extensions of Hom-preLie algebras

Rings and Algebras 2018-10-24 v1

Authors: Bing Sun , Liangyun Chen , Xin Zhou

Abstract

We introduce the notion of Hom-co-represention and low-dimensional chain complex. We study universal central extensions of Hom-preLie algebras and generlize some classical results. As the same time, we introduce $\alpha$ -central extensions, universal $\alpha$ -central extensions and $\alpha$ -perfect Hom-preLie algebras. We construct universal ( $\alpha$ )-central extensions of Hom-preLie algebras.

Keywords

hom-preLie algebra universal central extension alpha-central extension hom-co-representation chain complex alpha-perfect

Cite

@article{arxiv.1810.09848,
  title  = {On universal $\alpha$-central extensions of Hom-preLie algebras},
  author = {Bing Sun and Liangyun Chen and Xin Zhou},
  journal= {arXiv preprint arXiv:1810.09848},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1209.5887 and arXiv:1209.6266 by other authors

On universal $\alpha$-central extensions of Hom-preLie algebras

Abstract

Keywords

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