  Auslander and Ringel-Tachikawa have shown that for an artinian ring R of
finite representation type, every R-module is the direct sum of finitely
generated indecomposable R-modules. In this paper, we will adapt this result to
finite representation type full subcategories of the module category of an
artinian ring which are closed under subobjects and direct sums and contain all
projective modules. In particular, the results in this paper hold for subspace
representations of a poset, in case this subcategory is of finite
representation type.
