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

DOI10.2307/2160114zbMath0798.20048OpenAlexW4243214289MaRDI QIDQ4201601

Patrick W. Keef

Publication date: 1 September 1993

Full work available at URL: https://doi.org/10.2307/2160114

zbMATH Keywords

abelian groupsbasic subgroups\(p\)-groupsconstructible universedirect sum of cyclic groupsreduced abelian groups\(T\)-equivalent\(T\)-equivalent \(p\)-groups

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (2)

The affinity of set theory and abelian group theory. ⋮ On the torsion product and direct sums of primary cyclic groups.

Cites Work

• Two problems of Fuchs concerning tor and hom
• Some Isomorphisms of Abelian Groups Involving the Tor Functor
• Abelian p-Groups A and B Such that Tor(A, G) ≅Tor(B, G), G Reduced
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