The classification theorem for finitely generated Abelian groups is well known and plays big role in mathematics.
Are there any structure theorems about infinitely generated Abelian groups known?
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2$\begingroup$ This theorem is a special case of structure theorem for finitely generated modules over PID. Some words on the non-finitely generated case can be found in the related wikipedia article en.wikipedia.org/wiki/… $\endgroup$ – lisyarus Nov 28 '15 at 1:18
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1$\begingroup$ math.stackexchange.com/questions/313737/… $\endgroup$ – Qiaochu Yuan Nov 28 '15 at 1:37
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1$\begingroup$ math.stackexchange.com/questions/22646/… $\endgroup$ – Qiaochu Yuan Nov 28 '15 at 1:37
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1$\begingroup$ simpletonsymposium.wordpress.com/2013/05/31/… $\endgroup$ – Qiaochu Yuan Nov 28 '15 at 1:38
