Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras

2023/04/13 by Ahmed Zahari, Zahari, Ahmed, Bouzid Mosbahi +3 · 1 citation
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2304.06781

openalex publication_date 2023/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The basic objective of this research work is to investigate the stucture of BiHom-associative trialgebras. In this respect we build up one important class of BiHom-trialgebras and determine properties of right, left and middle operations in BiHom-associative trialgebras. We provide a classification of n-dimensional BiHom-trialgebras for n≤3. Relying upon the classification result of BiHom-associative trialgebras, the derivations and centroids of low-dimensional BiHom-associative trialgebras are characterized. Certain properties of the centroids in light of BiHom-associative trialgebras are reviwed the centroids of low-dimensional BiHom-associative trialgebras are computed.

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