Classification, Derivations and Centroids of Low-Dimensional Real Trialgebras
Rings and Algebras
2023-04-11 v1
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.
Cite
@article{arxiv.2304.04251,
title = {Classification, Derivations and Centroids of Low-Dimensional Real Trialgebras},
author = {Ahmed Zahari and Bouzid Mosbahi and Imed Basdouri},
journal= {arXiv preprint arXiv:2304.04251},
year = {2023}
}