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math.RA2019★ 3 cited
Cohomology and linear deformation of BiHom-left-symmetric algebras
Abdelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk +1
The aim of this work is to introduce representations of BiHom-left-symmetric algebras. and develop its cohomology theory. As applications, we study linear deformations of BiHom-lef…
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…