Abstract
Pi-balanced images of a finite direct sum L = J 1 ⊕ ⋯ ⊕ J n of purely indecomposable modules over a discrete valuation domain are investigated. Under a rigidity condition, these images can be classified by a complete set of isomorphism invariants. When the J i have finite rank, the torsion-free images of L admit an internal characterization. If, in addition, the J i are all isomorphic, then any pi-balanced image of L is a direct summand. Several examples illustrate the concepts and the results.
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