Elsevier

Journal of Algebra

Volume 35, Issues 1–3, 20 June 1975, Pages 235-238
Journal of Algebra

Nearly isomorphic torsion free abelian groups

https://doi.org/10.1016/0021-8693(75)90048-4Get rights and content
Under an Elsevier user license
open archive

Abstract

Let K be the Krull-Schmidt-Grothendieck group for the category of finite rank torsion free abelian groups. The torsion subgroup T of K is determined and it is proved that KT is free. The investigation of T leads to the concept of near isomorphism, a new equivalence relation for finite rank torsion free abelian groups which is stronger than quasiisomorphism.

Cited by (0)

This research was supported by a grant from the University of Kansas General Research Fund.