If $R$ is a Dedekind domain then is a submodule of a finitely generated $R$-module also finitely generated over $R$?
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2026-03-26 04:52:37.1774500757
Submodule of a finitely generated module over a Dedekind domain
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Since a Dedekind ring $R$ is Noetherian, every submodule of a finitely-generated $R$-module is finitely-generated.