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

2023/06/25 by M. A. Fiidow, Fiidow, M. A., Ahmed Zahari +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2306.14331

openalex publication_date 2023/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present some basic properties concerning the quasi-derivation algebra QDer(A) and the quasi-centroid algebra QC(A) of associative algebra 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(A) and the quasi-centroid algebra QC(A) algebras and give their corresponding dimension.

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