  Milliet asks the following question: given two prime numbers $p\neq q$, is
there a division algebra of characteristic $p$ which is of dp-rank $q^2$ and of
dimension $q^2$ over its center? We answer in the affirmative. We also give an
example of a finite burden central division algebra over some ultraproduct of
$p$-adic numbers. As a conclusion we revisit an example of Albert to prove that
there exists non-cyclic division algebras of finite dp-rank.
