$3$-L-dendriform algebras and generalized derivations
Rings and Algebras
2020-04-14 v1
Abstract
The main goal of this paper is to introduce the notion of -L-dendriform algebras which are the dendriform version of -pre-Lie algebras. In fact they are the algebraic structures behind the -operator of -pre-Lie algebras. They can be also regarded as the ternary analogous of L-dendriform algebras. Moreover, we study the generalized derivations of -L-dendriform algebras. Finally, we explore the spaces of quasi-derivations, the centroids and the quasi-centroids and give some properties.
Keywords
Cite
@article{arxiv.2004.05998,
title = {$3$-L-dendriform algebras and generalized derivations},
author = {Taoufik Chtioui and Sami Mabrouk},
journal= {arXiv preprint arXiv:2004.05998},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1604.05996, arXiv:1711.08381, arXiv:1306.3046 by other authors