An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras
Rings and Algebras
2024-12-31 v1
Abstract
In this paper, we introduce the concept of inner derivations of low-dimensional Zinbiel algebras and investigate their properties. The primary objective of this study is to develop an algorithm to characterize the inner derivations of any n-dimensional Zinbiel algebra in matrix form. Additionally, we apply this algorithm to two, three and four-dimensional complex Zinbiel algebras, providing explicit descriptions of their inner derivations.
Cite
@article{arxiv.2412.20599,
title = {An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras},
author = {Bouzid Mosbahi and Ahmed Zahari},
journal= {arXiv preprint arXiv:2412.20599},
year = {2024}
}