  C. Amiot has classified the connected triangulated k-categories with finitely
many isoclasses of indecomposables satisfying suitable hypotheses. We remark
that her proof shows that these triangulated categories are determined by their
underlying k-linear categories. We observe that if the connectedness assumption
is dropped, the triangulated categories are still determined by their
underlying k-categories together with the action of the suspension functor on
the set of isoclasses of indecomposables.
