Finitely generated abelian implies Hopfian

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This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., finitely generated abelian group) must also satisfy the second group property (i.e., Hopfian group)
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Any finitely generated abelian group is a Hopfian group.

Intermediate notions