Author:
Rahman Ameer,Shaheen Rajaa
Abstract
The purpose of this paper, is to define and discuss a representation on an n-Bi-Hom Γ-Lie algebra and give some results about them.
Reference9 articles.
1. A. Kitoune, A. Makhlouf and S. Silvestrov, '' on n-ary Generalization of Bi-Hom-Lie Algebras and Bi-Hom-Associative Algebras'', algebraic Structures and Applications: SPAS 2017, Va ̈stera ̇s and Stockholm, Sweden , pp.99-126, (2020).
2. J. Li, and L. Chen, '' the construction of 3-BiHom-Lie algebras, Communications in Algebra '', vol.48, no.12, pp.5374-5390, (2020).
3. A.H. Rezaei, and B. Davvaz , '' construction of Γ –Lie algebra and Γ –Lie Admissible '', Korean Journal of Mathematics ,vol.26,no.3,pp. 175-189, (2018).
4. A.H. Rezaei, , B. Davvaz,S. and O. Dehkordi , '' Fundamentals of Γ- Algebra and Γ- Dimension, UPB Scientific Bulletin '', Series A: applied Mathematics and Physics vol.76,no.2, pp.111-122 , (2014).
5. J. Arnlind, A. Makhlouf and S. Silvestrov, '' construction of n-Lie algebras and n-ary Hom Nambu Lie algebras ''. J. Math. Phys. pp.52-76, (2011).