On the automorphism groups of some Leibniz algebras

TL;DR

This paper investigates the automorphism groups of finite-dimensional cyclic Leibniz algebras, exploring their structure and connections with groups, modules, and associative rings.

Contribution

It provides a detailed analysis of automorphism groups of cyclic Leibniz algebras and clarifies their relationships with algebraic structures like groups and modules.

Findings

Characterization of automorphism groups of cyclic Leibniz algebras

Connections established between Leibniz algebras and modules over associative rings

Structural insights into automorphisms in finite-dimensional cases

Abstract

We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.