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arXiv · 2004.05998

$3$-L-dendriform algebras and generalized derivations

Taoufik Chtioui·Sami Mabrouk
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Abstract

The main goal of this paper is to introduce the notion of $3$-L-dendriform algebras which are the dendriform version of $3$-pre-Lie algebras. In fact they are the algebraic structures behind the $\mathcal{O}$-operator of $3$-pre-Lie algebras. They can be also regarded as the ternary analogous of L-dendriform algebras. Moreover, we study the generalized derivations of $3$-L-dendriform algebras. Finally, we explore the spaces of quasi-derivations, the centroids and the quasi-centroids and give some properties.

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Taoufik Chtioui, Sami Mabrouk. 2020-04-05. $3$-L-dendriform algebras and generalized derivations. https://arxiv.org/abs/2004.05998

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