English

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras

Rings and Algebras 2025-05-01 v1

Abstract

This study focuses on the analysis of derivations, centroids, and inner derivations of 5-dimensional complex nilpotent associative algebras. It presents the classification of these algebras of dimension less than five, as well as the classifications of their corresponding derivations, centroids and iner-derivations.

Keywords

Cite

@article{arxiv.2504.21180,
  title  = {Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras},
  author = {Ahmed Zahari Abdou},
  journal= {arXiv preprint arXiv:2504.21180},
  year   = {2025}
}