3-L-dendriform algebras and generalized derivations

2020/04/05 by Chtioui, Taoufik, Mabrouk, Sami
#17A40 #17A42 #17B15 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2004.05998

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 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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