An Application of Set Theory to the Torsion Product of Abelian Groups

Patrick Keef
1993 Proceedings of the American Mathematical Society  
The following problem of Fuchs is considered: relate the abelian groups A and B assuming Tor(^4, G) = Tor(fl, G) for all reduced abelian groups G . A complete characterization is obtained in any set-theoretic universe in which E(k) is valid for a proper class of regular cardinals k .
doi:10.2307/2160114 fatcat:ikoialh4cvh23bvb4mb2oelibm