On Algorithms for Computing Derivations and Antiderivations of Leibniz Algebras

Pawaran Hongsopa; Pattrawadee Janplee; Chanisata Kimsang; Suchada Pongprasert; Nissara Sirasuntorn

On Algorithms for Computing Derivations and Antiderivations of Leibniz Algebras

Authors

Pawaran Hongsopa
Pattrawadee Janplee
Chanisata Kimsang
Suchada Pongprasert Srinakharinwirot University
Nissara Sirasuntorn Department of Mathematics, Faculty of Science, Srinakharinwirot University https://orcid.org/0000-0002-0581-9491

Keywords:

Leibniz algebra, Derivation, Antiderivation, Biderivation, Algorithm

Abstract

The concepts of antiderivation and biderivation were first introduced for right Leibniz algebras in 1993. In this paper, we extend these definitions to left Leibniz algebras and develop Maple software programs specifically for computing derivations and antiderivations of Leibniz algebras. As an application, we provide a complete classification of biderivations for non-Lie Leibniz algebras of dimensions up to three over the complex field.

Downloads

Download data is not yet available.

Downloads

Published

2024-12-28

How to Cite

Hongsopa, P., Janplee, P., Kimsang, C., Pongprasert, S., & Sirasuntorn, N. (2024). On Algorithms for Computing Derivations and Antiderivations of Leibniz Algebras. Science Essence Journal, 40(2), 45–57. Retrieved from https://ejournals.swu.ac.th/index.php/sej/article/view/16440