  It is well known that central simple algebras are split by suitable finite
Galois extensions of their centers. A counterpart of this result was studied by
Juan and Magid in the set up of differential matrix algebras, wherein
Picard-Vessiot extensions that split matrix differential algebras were
constructed. In this article, we exhibit instances of differential matrix
algebras which are split by finite extensions. In some cases, we relate the
existence of finite splitting extensions of a differential matrix algebra to
the triviality of its tensor powers, and show in these cases, that orders of
differential matrix algebras divide their degrees.
