An article I'm reading has this remark: "let R be a compact commutative ring and lets say that R contains a finitely generated dense subring S. so by the assumptions on S we have that R is second countable" I can't think of a proof for that remark, and would appreciate some insights on that problem. Also, I've gathered that its probably enough to show that R as a compact ring is first countable, should that even be true?
2026-03-25 11:08:02.1774436882
compact finitely generated ring is second countable
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