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A
class of Abelian groups closed under direct limits and
subgroups formation
Chin-Shui Hsu |
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Vol. 50 (1974), No. 2, 495–503
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Abstract |
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This is a solution to the following problem: Which classes of Abelian groups are closed under taking subgroups and direct limits. (Problem 6(a), L. Fuchs, Infinite Abelian Groups, I, A-P.) Each such class is uniquely determined by its subclass of finitely generated Abelian groups, which in turn can be described by a set of numerical invariants. In like manner, an analogue for modules over a Dedekind domain is also obtained. |
Mathematical Subject Classification
Primary: 20K05
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Milestones
Received: 31 December 1970
Published: 1 February 1974
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Authors |
| Chin-Shui Hsu | |
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