Asymmetric complete resolutions and vanishing of Ext over Gorenstein rings

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dc.creatorJorgensen, David A.
dc.creatorSega, Liana M.
dc.date2005-10-28
dc.date.accessioned2026-07-07T06:48:05Z
dc.date.available2026-07-07T06:48:05Z
dc.descriptionWe construct a class of Gorenstein local rings $R$ which admit minimal complete $R$-free resolutions $\bd C$ such that the sequence $\{\rank_R C_i\}$ is constant for $i< 0$, and grows exponentially for all $i>0$. Over these rings we show that there exist finitely generated $R$-modules $M$ and $N$ such that $\Ext^i_R(M,N)=0$ for all $i> 0$, but $\Ext^i_R(N,M)\ne 0$ for all $i>0$.
dc.description14 pages, to appear in Internat. Math. Res. Notices
dc.identifierhttps://arxiv.org/abs/math/0510644
dc.identifierhttp://arxiv.org/abs/math/0510644
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103869
dc.subjectCommutative Algebra
dc.titleAsymmetric complete resolutions and vanishing of Ext over Gorenstein rings
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