Let A be a finite rank torsion-free abelian group. Then there exist direct decompositions A = B ⊕ C where B is completely decomposable and C has no rank 1 direct summand. In such a decomposition B is unique up to isomorphism and C is unique up to near-isomorphism.
|Number of pages||4|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - Jan 2018|