user26857
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Member for 12 years, 7 months
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Last seen more than a week ago
revised
Projectivity of some module
improving format
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Height of truncated system of parameter
improving format
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suggested
Approve
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Why is $M$ torsion-free?
I don't know what hypotheses you are assuming in that Lemma, but the converse doesn't hold in general. For instance, for $R=K[X,Y]$ (eventually localized at $(X,Y)$) and $M=R/(XY)$.
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Why is $M$ torsion-free?
Shouldn't be "2. Maximal Cohen-Macaulayness implies torsion-freeness."?
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Flatness criterion for $I$-adic ring: $I$-torsion free
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Systems of regular parameters of a regular local ring
improved format
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Flatness over a local noetherian ring
added 124 characters in body
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Graded-irreducible ideals are irreducible?
Improved format, fixed few typos
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Flatness over a local noetherian ring
The result you mentioned as a Theorem is also well known. (I forgot to mention it in my question.) The point was if one can test the flatness involving only the maximal ideal.
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Projective modules over semi-local rings
replaced a dead link and included the title of the quoted paper for future reference
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