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A new proof of Prüfer’s theorem. (English) Zbl 0925.20063

Summary: The aim of this paper is to give an easy and direct proof of the well-known fact: A bounded Abelian group is a direct sum of cyclic groups (Prüfer’s Theorem).

MSC:

20K10 Torsion groups, primary groups and generalized primary groups
20K25 Direct sums, direct products, etc. for abelian groups
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