Dualizing Complexes and Tilting Complexes over Simple Rings

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dc.creatorYekutieli, Amnon
dc.creatorZhang, James J.
dc.date2001-09-30
dc.date.accessioned2026-07-07T04:43:35Z
dc.date.available2026-07-07T04:43:35Z
dc.descriptionWe prove that two-sided tilting complexes, and dualizing complexes, over simple Goldie rings (with some technical conditions) are always shifts of invertible bimodules. This allows us to describe the derived Picard groups of such rings, and to deduce these are Gorenstein (and sometimes even Auslander-Gorenstein Cohen-Macaulay) rings.
dc.description9 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0110008
dc.identifierhttp://arxiv.org/abs/math/0110008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62289
dc.subjectRings and Algebras
dc.subject16D90
dc.titleDualizing Complexes and Tilting Complexes over Simple Rings
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