A study of $n$-Lie-isoclinic Leibniz algebras

Abstract

In this paper we introduce the concept of $n$-Lie-isoclinism on non-Lie Leibniz algebras. Among the results obtained, we provide several characterizations of $n$-Lie-isoclinic classes of Leibniz algebras. Also, we provide a characterization of $n$-Lie-stem Leibniz algebras, and prove that every $n$-Lie-isoclinic class of Leibniz algebras contains a $n$-Lie-stem Leibniz algebra.