I’m trying to show that a finitely generated flat module over a PID is torsion-free. I know the converse is a consequence of the structure theorem for finitely generated modules over a PID and the fact that free modules are flat, but I’m not sure if that theorem is useful here. Any hints would be appreciated.
2026-03-28 01:06:14.1774659974
Finitely generated flat module over a PID is torsion-free?
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