Nijenhuis Operators on 3-Hom-L-dendriform algebras
Rings and Algebras
2020-07-21 v1
Abstract
The goal of this work is to introduce the notion of -Hom-Lie-dendriform algebras which is the dendriform version of -Hom-Lie-algebras. They can be also regarded as the ternary analogous of Hom-Lie-dendriform algebras. We give the representation of a -Hom-pre-Lie algebra. Moreover, we introduce the notion of Nijenhuis operators on a -Hom-pre-Lie algebra and provide some constructions of -Hom-Lie-dendriform algebras in term of Nijenhuis operators. Parallelly, we introduce the notion of a product and complex structures on a -Hom-Lie-dendriform algebras and there are also four types special integrability conditions.
Keywords
Cite
@article{arxiv.2007.10267,
title = {Nijenhuis Operators on 3-Hom-L-dendriform algebras},
author = {Abelkader Ben Hassine and Taoufik Chtioui and Sami Mabrouk},
journal= {arXiv preprint arXiv:2007.10267},
year = {2020}
}