The Popescu-Gabriel theorem for triangulated categories

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dc.creatorPorta, Marco
dc.date2007-06-29
dc.date2008-02-15
dc.date.accessioned2026-07-07T09:20:38Z
dc.date.available2026-07-07T09:20:38Z
dc.descriptionThe Popescu-Gabriel theorem states that each Grothendieck abelian category is a localization of a module category. In this paper, we prove an analogue where Grothendieck abelian categories are replaced by triangulated categories which are well generated (in the sense of Neeman) and algebraic (in the sense of Keller). The role of module categories is played by derived categories of small differential graded categories. An analogous result for topological triangulated categories has recently been obtained by A. Heider.
dc.description32 pages; submitted to Advances in Mathematics; one reference added
dc.identifierhttps://arxiv.org/abs/0706.4458
dc.identifierhttp://arxiv.org/abs/0706.4458
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154784
dc.subjectK-Theory and Homology
dc.subject18E30; 16E45; 16D90
dc.titleThe Popescu-Gabriel theorem for triangulated categories
dc.typetext

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