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Auteurs principaux: Abdou, Ahmed Zahari, Mosbahi, Bouzid
Format: Preprint
Publié: 2025
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Accès en ligne:https://arxiv.org/abs/2501.10887
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author Abdou, Ahmed Zahari
Mosbahi, Bouzid
author_facet Abdou, Ahmed Zahari
Mosbahi, Bouzid
contents This paper focuses on the biderivations of 4-dimensional nilpotent complex Leibniz algebras. Using the existing classification of these algebras, we develop algorithms to compute derivations, antiderivations, and biderivations as pairs of matrices with respect to a fixed basis. By utilizing computer algebra software such as Mathematica and Maple, we provide detailed descriptions and examples to illustrate these computations.
format Preprint
id arxiv_https___arxiv_org_abs_2501_10887
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Computational Methods for Biderivations of 4-dimensional nilpotent complex leibniz algebras
Abdou, Ahmed Zahari
Mosbahi, Bouzid
Rings and Algebras
This paper focuses on the biderivations of 4-dimensional nilpotent complex Leibniz algebras. Using the existing classification of these algebras, we develop algorithms to compute derivations, antiderivations, and biderivations as pairs of matrices with respect to a fixed basis. By utilizing computer algebra software such as Mathematica and Maple, we provide detailed descriptions and examples to illustrate these computations.
title Computational Methods for Biderivations of 4-dimensional nilpotent complex leibniz algebras
topic Rings and Algebras
url https://arxiv.org/abs/2501.10887