Abstract

Suppose G is a torsion-free abelian group of finite rank which is quasi-isomorphic to G1⊕…⊕Gk with each Gi strongly indecomposable. Call G rigid if Hom(Gi,Gj) = 0 for all i≠j. If A1,…,An are nonzero subgroups of the additive group of rational numbers, G[A1,…,An] denotes the cokernel of the diagonal map ⋂Ai→⊕Ai In this paper, a study of rigid groups of the form G[A1,…,An] is initiated

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