Let $R$ be a commutative topological ring and let $K$ be a compact subset of $R$. Denote by $I$ the ideal generated by $K$.
Then is it true (or under what assumptions on $R$ (besides Noetherianity) is it true) that $I$ is a finitely generated ideal?
2026-04-01 16:06:00.1775059560
Is an ideal generated by a compact subset finitely generated?
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