  Let $R$ be a characteristic $p$ discrete valuation ring with field of
fractions $K$. Let $H$ be a commutative, cocommutative $K$-Hopf algebra of
$p$-power rank which is generated as a $K$-algebra by primitive elements. We
construct all of the $R$-Hopf orders of $H$ in $K$; each Hopf order corresponds
to a solution to a single matrix equation. For $R$ complete, we give explicit
examples of Hopf orders in some rank $p^2$ $K$-Hopf algebras.
