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Why a torsion free flat module over a discrete valuation ring is Cohen-Macaulay?

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Dear unknown, do you want your modules to be finitely generated? Then they will be free in this case. –  Akhil Mathew Feb 17 '11 at 12:08
@Akhil Mathew..yes i need it..why this is true? –  unknown Mar 4 '11 at 15:02
Dear unknown, torsion free modules over any PID are free (this follows from the structure theorem of f.g. modules over PIDS). –  Akhil Mathew Mar 4 '11 at 16:20
@AkhilMathew Hi: Do you think you could turn that into an answer? Thanks! –  rschwieb Oct 7 '14 at 12:51

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