Characterization of modules of finite projective dimension over complete intersections
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- Proc. Amer. Math. Soc. 134 (2006), 1271-1275 Request permission
Abstract:
Let $M$ be a finitely generated module over a local complete intersection $R$ of characteristic $p>0$. The property that $M$ has finite projective dimension can be characterized by the vanishing of $\operatorname {ext}_R^i({}^{f^n}\!\! R,M)$ for some $i>0$ and for some $n>0$.References
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Additional Information
- Jinjia Li
- Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
- Email: jinjiali@math.uiuc.edu
- Received by editor(s): October 4, 2004
- Received by editor(s) in revised form: December 14, 2004
- Published electronically: October 13, 2005
- Additional Notes: This research was carried out while the author was supported by a research grant from the UIUC Campus Research Board of the University of Illinois under the supervision of S. Dutta
- Communicated by: Bernd Ulrich
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 1271-1275
- MSC (2000): Primary 13C14, 13C40, 13D05, 13D40, 13H10
- DOI: https://doi.org/10.1090/S0002-9939-05-08174-8
- MathSciNet review: 2199169