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| Paper IPM / M / 11188 |
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| Abstract: | |||||||
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Let M be a finitely generated module over a local ring R of
characteristic p > 0. If depth(R) = s, then the property that M has finite projective
dimension can be characterized by the vanishing of the functor
\ExtiR(M,fnR) for s+1 consecutive values i > 0 and for infinitely many n.
In addition, if R is a d-dimensional complete intersection, then
M has finite projective dimension can be characterized by the
vanishing of the functor \ExtiR(M, fnR) for some i ≥ d
and some n > 0.
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