Isoclinisms in n-Hom-Lie Algebras

Document Type : Research Paper


Mathematical Institute, Golestan University, Gorgan, Iran.


In the present article, we define the concept of isoclinism for n-Hom-Lie algebras and investigate some of its properties. Also, we introduce the factor sets on n-Hom-Lie algebras. As a result, it is shown that the equivalency between isoclinism and isomorphism of two finite- dimensional n-Hom-Lie algebras just depends on whether one of them be regular.