English

Hom-Novikov color algebras

Rings and Algebras 2016-09-27 v1

Abstract

The aim of this paper is to introduce Hom-Novikov color algebras and give some constructions of Hom-Novikov color algebras from a given one and a (weak) morphism. Other interesting constructions using averaging operators, centroids, derivations and tensor product are given. We also proved that any Hom-Novikov color algebra is Hom-Lie admissible. Moreover, we introduce Hom-quadratic Hom-Novikov color algebras and provide some properties by twisting. It is also shown that the Hom-Lie color algebra associated to a given quadratic Hom-Novikov color algebra is also quadratic.

Keywords

Cite

@article{arxiv.1609.07813,
  title  = {Hom-Novikov color algebras},
  author = {Ibrahima Bakayoko},
  journal= {arXiv preprint arXiv:1609.07813},
  year   = {2016}
}

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16 pages