Isoclinism of $n$-Hom-Lie Algebras

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran, P.O. Box 49138-15759

Abstract

In the present article, we define the concept of isoclinism in the context of $n$-Hom-Lie algebras and investigate some of its properties. Also, we introduce factor sets on $n$-Hom-Lie algebras. By restricting these structures to semisimple linear operators of these structures, it is shown that the equivalency between isoclinism and isomorphism of two finite-dimensional $n$-Hom-Lie algebras just depends on whether one of the operators of them is onto.

Keywords


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