Classification, α-Inner Derivations and α-Centroids of Finite-Dimensional Complex Hom-Trialgebras

2023/04/30 by Bouzid Mosbahi, Mosbahi, Bouzid, Ahmed Zahari +3
Decision Sciences · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2305.00471

openalex publication_date 2023/04/30 · openalex created_date 2023/05/03 · openalex updated_date 2026/07/28

Abstract

In the current research work, our basic objective is to investigate the stucture of Hom-associative trialgebras. Next, we build up one important class of Hom-associative trialgebras and provide properties of right, left and meddle operations in Hom-associative trialgebras. Furthermore, we describe the classification of n-dimensional Hom-associative trialgebras for n≤ 3. Additionally, the properties of the Inner-derivations and centroids are identified and discussed. Eventually the Inner-derivations and centroids are computed.

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