Dendrification of Hom-Malcev algebras
Rings and Algebras
2022-05-24 v1 Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
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 -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.
Keywords
Cite
@article{arxiv.2205.11002,
title = {Dendrification of Hom-Malcev algebras},
author = {F. Harrathi and S. Mabrouk and O. Ncib and S. Silvestrov},
journal= {arXiv preprint arXiv:2205.11002},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2105.00606; text overlap with arXiv:2205.03762