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arXiv · 2205.11002

Dendrification of Hom-Malcev algebras

F. Harrathi·S. Mabrouk·O. Ncib·S. Silvestrov
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Abstract

The main goal of this work is to introduce the notion of Hom-M-dendriform algebras which are the dendriform version of Hom-Malcev algebras. In fact they are the algebraic structures behind the $\mathcal{O}$-operator of Hom-pre-Malcev algebras. They also fit into a bigger framework as Hom-Malcev algebraic analogues of Hom-L-dendriform algebras. Furthermore, we show a connections between Hom-M-Dendriform algebras and Hom-alternative quadri-algebras.

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BibTeXRIS

F. Harrathi, S. Mabrouk, O. Ncib, S. Silvestrov. 2022-05-23. Dendrification of Hom-Malcev algebras. https://arxiv.org/abs/2205.11002

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