Proceedings of the American Mathematical Society

Author(s): Liana M. Sega
Journal: Proc. Amer. Math. Soc. 131 (2003), 2313-2323.
MSC (2000): Primary 13D07, 13H10; Secondary 13D40
Posted: November 14, 2002
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Abstract: We prove that if

are finite modules over a Gorenstein local ring

of codimension at most

, then the vanishing of $\operatorname{Ext}^n_R(M,N)$ for $n\gg 0$ is equivalent to the vanishing of $\operatorname{Ext}^n_R(N,M)$ for $n\gg 0$ . Furthermore, if $\widehat{R}$ has no embedded deformation, then such vanishing occurs if and only if

has finite projective dimension.

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