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arXiv · 2304.04251

Classification, Derivations and Centroids of Low-Dimensional Real Trialgebras

Ahmed Zahari·Bouzid Mosbahi·Imed Basdouri
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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 $\leq$ 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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Ahmed Zahari, Bouzid Mosbahi, Imed Basdouri. 2023-04-09. Classification, Derivations and Centroids of Low-Dimensional Real Trialgebras. https://arxiv.org/abs/2304.04251

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