Why a torsion free flat module over a discrete valuation ring is Cohen-Macaulay?
Torsion free flat module over a discrete valuation ring is Cohen-Macaulay
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algebraic-geometry
ring-theory
modules
cohen-macaulay
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0Dear unknown, do you want your modules to be finitely generated? Then they will be free in this case. – 2011-02-17
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0@Akhil Mathew..yes i need it..why this is true? – 2011-03-04
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0Dear unknown, torsion free modules over any PID are free (this follows from the structure theorem of f.g. modules over PIDS). – 2011-03-04
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0@AkhilMathew Hi: Do you think you could turn that into an answer? Thanks! – 2014-10-07