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math.RA2018
BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras
Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf
The purpose of this paper is to introduce and study BiHom-alternative algebras and BiHom-Malcev algebras. It is shown that BiHom-alternative algebras are BiHom-Malcev admissible an…
math.RA2018
Some constructions of multiplicative -ary Hom-Nambu algebras
Abdelkader Ben Hassine, Sami Mabrouk, Othmen Ncib
We show that given a Hom-Lie algebra one can construct the n-ary Hom-Lie bracket by means of an (n-2)-cochain of given Hom-Lie algebra and find the conditions under which this n-ar…