Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras

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 $n$-dimensional BiHom-trialgebras for $n\le 3$.,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.