A Note on Symmetry in the Vanishing of Ext

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dc.creatorNasseh, Saeed
dc.creatorTousi, Massoud
dc.date2009-04-30
dc.date.accessioned2026-07-07T13:10:36Z
dc.date.available2026-07-07T13:10:36Z
dc.descriptionAvramov and Buchweitz proved that for finitely generated modules $M$ and $N$ over a complete intersection local ring $R$, $\Ext^i_R(M,N)=0$ for all $i\gg 0$ implies $\Ext^i_R(N,M)=0$ for all $i\gg 0$. In this note we give some generalizations of this result. Indeed we prove the above mentioned result when (1) $M$ is finitely generated and $N$ is arbitrary, (2) $M$ is arbitrary and $N$ has finite length and (3) $M$ is complete and $N$ is finitely generated.
dc.identifierhttps://arxiv.org/abs/0904.4858
dc.identifierhttp://arxiv.org/abs/0904.4858
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229051
dc.subjectCommutative Algebra
dc.subject13H10, 13D07, 13D02
dc.titleA Note on Symmetry in the Vanishing of Ext
dc.typetext

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