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

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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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math.RA 1

years

2025 1

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REJECT 1

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