Cohomology of BiHom-Associative Trialgebras

The paper concerns the cohomology of (multiplicative) BiHom-associative trialgebras. We first detail the correspondence between central extensions and second cohomology. This is followed by a general cohomology theory that unifies those of BiHom-associative algebras and associative trialgebras. Finally, we introduce one-parameter formal deformations and classify generalized $\alpha \beta$-derivations of 3-dimensional BiHom-associative trialgebras.