# About approximate and dual Lie algebras

## TL;DR

This paper introduces and investigates Lie algebras over the algebra of dual numbers, exploring their structure and properties within this mathematical framework.

## Contribution

It presents a novel study of Lie algebras over dual numbers, expanding understanding of their algebraic structure and potential applications.

## Key findings

- Characterization of Lie algebras over dual numbers
- Identification of unique structural properties
- Potential implications for algebraic theory

## Abstract

The Lie algebras over the algebra of dual numbers are introduced and investigated.