Classification, $\alpha$-Inner Derivations and $\alpha$-Centroids of Finite-Dimensional Complex Hom-Trialgebras
Rings and Algebras
2023-05-02 v1
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 -dimensional Hom-associative trialgebras for . Additionally, the properties of the Inner-derivations and centroids are identified and discussed. Eventually the Inner-derivations and centroids are computed.
Keywords
Cite
@article{arxiv.2305.00471,
title = {Classification, $\alpha$-Inner Derivations and $\alpha$-Centroids of Finite-Dimensional Complex Hom-Trialgebras},
author = {Bouzid Mosbahi and Ahmed Zahari and Imed Basdouri},
journal= {arXiv preprint arXiv:2305.00471},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2304.06781