3-L-dendriform algebras and generalized derivations | Zendy

Taoufik Chtioui | Zendy; Sami Mabrouk | Zendy

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3-L-dendriform algebras and generalized derivations

Author(s) -

Taoufik Chtioui,

Sami Mabrouk

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2106949c

Subject(s) - mathematics , centroid , pure mathematics , ternary operation , algebraic number , algebra over a field , mathematical analysis , computer science , geometry , programming language

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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