Damghan University PressGlobal Analysis and Discrete Mathematics2476-53417220220901Isoclinisms in n-Hom-Lie Algebras19320832810.22128/gadm.2022.629.1083ENMinaSadeghlooMathematical Institute, Golestan University, Gorgan, Iran.MahboubehAlizadehMathematical Institute, Golestan University, Gorgan, Iran.Journal Article20221108In 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.https://gadm.du.ac.ir/article_328_8f8a793a72c8182f807dd4daf8c91bd7.pdf