Characterizations of modules of finite projective dimension over complete intersections

Details Characterizations of modules of finite projective dimension over complete intersections Characterizations of modules of finite projective dimension over complete intersections

2005-02-25

arxiv.org/abs/math/0502554v1

Mathematics

Commutative Algebra

5 pages

Scientific paper

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 $\ext_R^i({}^{f^n} R,M)$ for some
$i>0$ and for some $n>0$.

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