What's the meaning of the expression: $S$ is a subring of $\mathbb{C}$ finitely generated as $\mathbb{Z}$-module? Maybe that the additive group of the ring $S$ is a finitely generated abelian group? Is my answer correct? Thank you very much to everyone for the help!

  • $\begingroup$ Yes, that's correct. $\endgroup$ – Qiaochu Yuan Jul 13 '16 at 18:11

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