Classification, Derivations and Centroids of Low-Dimensional Real Trialgebras

2023/04/09 by Zahari, Ahmed, Mosbahi, Bouzid, Basdouri, Imed
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2304.04251

Abstract

In this paper we study the structure and the algebraic varieties of associative trialgebras. We provide a classification of n-dimensional associative trialgebras for n ≤ 4. Using the classification result of associative trialgebras, we describe the derivations and centroids of low-dimensional associative trialgebras. We review some proprieties of the centroids in light of associative trialgebras and and we calculate the centroids of low-dimensional associative trialgebras.

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