Are Finitely generated modules over a ring also finitely generated over a subring containing the identity?Is every subring of a field over $mathbbQ$ a finitely generated $mathbbZ$-module?Integral Dependence & Finitely Generated Modulessubalgebras and finitely generated modulesAre polynomial rings finitely generated modules over the base ring?Finitely generated modulesFinitely generated modules over PID'sFinitely generated semisimple modulesAre free submodules of finitely generated modules finitely generated?Are finitely generated submodules of finitely generated free modules free?A submodule of finitely generated modules
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