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Characterization of modules of finite projective dimension over complete intersections
Authors:Jinjia Li
Institution:Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
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$.

Keywords:Complete intersection  finite projective dimension  finite injective dimension  flatness  Frobenius  Ext  Tor
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