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Paper   IPM / M / 11188
School of Mathematics
Title:   Characterization of modules of finite projective dimension via Frobenius functors
Author(s):
 1 S. Nasseh 2 M. Tousi 3 S. Yassemi
Status:   Published
Journal: Manuscripta Math.
Vol.:  130
Year:  2009
Pages:   425-431
Supported by:  IPM
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 \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 id and some n > 0.