We show that a family of indecomposable modules has only a finite number of non-
isomorphic members if satisfies either of the following:(a) has a preinjective partition, and …

We show that a family [formula] of indecomposable modules has only a finite number of non-
isomorphic members if [formula] satisfies either of the following:(a)[formula] has a …

It is well-known that a ring R is of finite representation type (ie R is artinian with finitely many
isomorphism classes of finitely generated indecomposable right or left R-modules) if and …