Characterization of modules of finite projective dimension via Frobenius functors

Saeed Nasseh, Massoud Tousi, Siamak Yassemi

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 languageEnglish
Pages (from-to)425-431
Number of pages7
JournalManuscripta Mathematica
Volume130
Issue number4
DOIs
StatePublished - Nov 2009

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