  Let $F$ be a field of non-zero characteristic $p$, let $G$ be a cyclic group
of order $q =p^a$ for some positive integer $a$, and let $U$ and $W$ be
indecomposable $F G$-modules. We identify a generator for each of the
indecomposable components of $U \otimes W$ in terms of a particular $F$-basis
of $U \otimes W$, extending previous work in which each component occurred with
multiplicity one. An anonymous reviewer helped us realize that our results are
really just a translation of previous results of Iiwa and Iwamatsu to our
situation.
