ABSTRACT
A rnold D ecom p osition T heorem . If X and Y are nearly isomorphic torsion-free abelian groups of finite rank and X = X \ Θ X 2 , then Y = Y\ 0 Y2 for some subgroups Y\ ^ nr and Y2 —nr X 2 ·
We also obtain in the context of anti-representations a beautiful theorem of Faticoni and Schultz [FS96, Theorem 3.5]. Recall that a decomposition is inde composable if its direct summands are indecomposable.
