An application of set theory to the torsion product of abelian groups

Keef, Patrick

doi:10.1090/S0002-9939-1993-1146863-2

An application of set theory to the torsion product of abelian groups
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Proc. Amer. Math. Soc. 118 (1993), 735-738 Request permission

Abstract:

The following problem of Fuchs is considered: relate the abelian groups $A$ and $B$ assuming $\operatorname {Tor} (A,G) \cong \operatorname {Tor} (B,G)$ for all reduced abelian groups $G$. A complete characterization is obtained in any set-theoretic universe in which $E(\kappa )$ is valid for a proper class of regular cardinals $\kappa$.

References

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Infinite abelian groups

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