2018/11/30 by Abdennour Kitouni, Kitouni, Abdennour, Abdenacer Makhlouf +3
Social Sciences · #17A40 #17A42 #17B30 #17B55 #Education and Technology Integration #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1812.00094
openalex publication_date 2018/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to introduce n-ary BiHom-algebras, generalizing\nBiHom-algebras. We introduce an alternative concept of BiHom-Lie algebra called\nBiHom-Lie-Leibniz algebra and study various type of n-ary BiHom-Lie algebras\nand BiHom-associative algebras. We show that n-ary BiHom-Lie-Leibniz algebra\ncan be represented by BiHom-Lie-Leibniz algebra through fundamental objets.\nMoreover, we provide some key constructions and study n-ary BiHom-Lie\nalgebras induced by (n-1)-ary BiHom-Lie algebras.\n