Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras
Rings and Algebras
2023-04-17 v1
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 -dimensional BiHom-trialgebras for .\,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.
Cite
@article{arxiv.2304.06781,
title = {Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras},
author = {Ahmed Zahari and Bouzid Mosbahi and Imed Basdouri},
journal= {arXiv preprint arXiv:2304.06781},
year = {2023}
}