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arXiv · 2306.14331

Quasi-Centroids and Quasi-Derivations of Low Dimensional Associative Algebras

M. A. Fiidow·Ahmed Zahari·Bouzid Mosbahi
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Abstract

In this paper, we present some basic properties concerning the quasi-derivation algebra $QDer(\mathcal{A})$ and the quasi-centroid algebra $QC(\mathcal{A})$ of associative algebra $\mathcal{A}$. Furthermore, using the result on classification of two, three and four dimensional associative algebra, we compute, for all two, three and four dimensional associative algebras, quasi-derivation algebra $QDer(\mathcal{A})$ and the quasi-centroid algebra $QC(\mathcal{A})$ algebras and give their corresponding dimension.

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M. A. Fiidow, Ahmed Zahari, Bouzid Mosbahi. 2023-06-25. Quasi-Centroids and Quasi-Derivations of Low Dimensional Associative Algebras. https://arxiv.org/abs/2306.14331

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