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

TL;DR

This paper introduces the concept of $n$-Lie-isoclinism in Leibniz algebras, providing characterizations and establishing that each class contains a $n$-Lie-stem algebra, advancing the structural understanding of these algebras.

Contribution

It defines $n$-Lie-isoclinism for Leibniz algebras and characterizes the classes and $n$-Lie-stem algebras within this framework.

Findings

Characterization of $n$-Lie-isoclinic classes

Identification of $n$-Lie-stem Leibniz algebras

Every class contains a $n$-Lie-stem algebra

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.