Relationships between the generalized central series of Leibniz algebras

TL;DR

This paper explores the connections between the generalized central series of Leibniz algebras and establishes analogues of classical group-theoretic theorems, enhancing understanding of Leibniz algebra structure.

Contribution

It introduces new relationships and analogues of Schur and Baer theorems for Leibniz algebras, expanding algebraic theory.

Findings

Established a close relationship between generalized central series of Leibniz algebras.

Proved analogues of Schur and Baer theorems for Leibniz algebras.

Abstract

The purpose of this article is to show a close relationship between the generalized central series of Leibniz algebras. Some analogues of the classical group-theoretical theorems of Schur and Baer for Leibniz algebras are proved.