Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587753 | Journal of Algebra | 2008 | 21 Pages |
Abstract
A classical question of R. Nunke asks when the torsion product of two primary Abelian groups is a direct sum of cyclic groups. For each ordinal α, we define a partially ordered set, Pα, on which there is a natural multiplication, and a function μα from the class of all primary Abelian groups to Pα. This construction is used to address Nunke's problem and a complete answer is given, at least for groups whose cardinality is less than the first weakly inaccessible cardinal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory