The modules in any component of the AR-quiver of a wild hereditary Artin algebra are uniquely determined by their composition factors
It is proved: the modules in any component of the AR-quiver of a wild hereditary artin algebra are uniquely determined by their composition factors. Therefore for any fixed natural number d, the number of homomorphism classes of indecomposable modules of length d in this component is finite.
scientific article; zbMATH DE number 4061445