  Let R be the ring of algebraic integers in a number field K and let L be a
maximal order in a semisimple K-algebra B. Building on our previous work, we
compute the smallest number of algebra generators of L considered as an
R-algebra. This reproves and vastly extends the results of P.A.B. Pleasants,
who considered the case when B is a number field. In order to achieve our goal,
we obtain several results about counting generators of algebras which have
finitely many elements. These results should be of independent interest.
