Free resolutions over short local rings

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dc.creatorAvramov, Luchezar L.
dc.creatorIyengar, Srikanth B.
dc.creatorSega, Liana M.
dc.date2007-07-30
dc.date2008-04-09
dc.date.accessioned2026-07-07T09:30:55Z
dc.date.available2026-07-07T09:30:55Z
dc.descriptionThe structure of minimal free resolutions of finite modules M over commutative local rings (R,m,k) with m^3=0 and rank_k(m^2) < rank_k(m/m^2)is studied. It is proved that over generic R every M has a Koszul syzygy module. Explicit families of Koszul modules are identified. When R is Gorenstein the non-Koszul modules are classified. Structure theorems are established for the graded k-algebra Ext_R(k,k) and its graded module Ext_R(M,k).
dc.description17 pages; number of minor changes. This article will appear in the Journal of the London Math. Soc
dc.identifierhttps://arxiv.org/abs/0707.4451
dc.identifierhttp://arxiv.org/abs/0707.4451
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158282
dc.subjectCommutative Algebra
dc.subject13D02 (Primary), 13D07 (Secondary)
dc.titleFree resolutions over short local rings
dc.typetext

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