Abstract
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 ExtRi(M,fn R) for s+1 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 ExtRi(M,fn R) for some i ≥ d and some n > 0.
Original language | English |
---|---|
Pages (from-to) | 425-431 |
Number of pages | 7 |
Journal | Manuscripta Mathematica |
Volume | 130 |
Issue number | 4 |
DOIs | |
State | Published - Nov 2009 |