Geodesic
3-L-dendriform algebras and generalized derivations
Filomat, Tome 35 (2021) no. 6, p. 1949

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DOI

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.
DOI : 10.2298/FIL2106949C
Classification : 17A40, 17A42, 17B15
Keywords: 3-Lie algebras, 3-pre-Lie algebras, 3-L-dendriform algebras, Representations, O-operator, Generalized derivations 
Taoufik Chtioui; Sami Mabrouk. 3-L-dendriform algebras and generalized derivations. Filomat, Tome 35 (2021) no. 6, p. 1949 . doi: 10.2298/FIL2106949C
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     title = {3-L-dendriform algebras and generalized derivations},
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     year = {2021},
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     doi = {10.2298/FIL2106949C},
     language = {en},
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