Nonvanishing cohomology and classes of Gorenstein rings

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dc.creatorJorgensen, David A.
dc.creatorSega, Liana M.
dc.date2003-05-30
dc.date2003-06-02
dc.date.accessioned2026-07-07T04:58:25Z
dc.date.available2026-07-07T04:58:25Z
dc.descriptionWe give counterexamples to the following conjecture of Auslander: given a finitely generated module $M$ over an Artin algebra $Λ$, there exists a positive integer $n_M$ such that for all finitely generated $Λ$-modules $N$, if $\Ext_Λ^i(M,N)=0$ for all $i\gg 0$, then $\Ext_Λ^i(M,N)=0$ for all $i\geq n_M$. Some of our examples moreover yield homologically defined classes of commutative local rings strictly between the class of local complete intersections and the class of local Gorenstein rings.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0306001
dc.identifierhttp://arxiv.org/abs/math/0306001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67629
dc.subjectCommutative Algebra
dc.subject13D03
dc.titleNonvanishing cohomology and classes of Gorenstein rings
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