Noetherian hereditary categories satisfying Serre duality

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dc.creatorReiten, Idun
dc.creatorBergh, Michel Van den
dc.date1999-11-30
dc.date2001-12-04
dc.date.accessioned2026-07-07T05:32:01Z
dc.date.available2026-07-07T05:32:01Z
dc.descriptionIn this paper we classify noetherian hereditary abelian categories satisfying Serre duality in the sense of Bondal and Kapranov. As a consequence we obtain a classification of saturated noetherian hereditary categories. As a side result we show that when our hereditary categories have no nonzero projectives or injectives, then the Serre duality property is equivalent to the existence of almost split sequences.
dc.descriptionFinal version; minor changes
dc.identifierhttps://arxiv.org/abs/math/9911242
dc.identifierhttp://arxiv.org/abs/math/9911242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79510
dc.subjectRepresentation Theory
dc.subjectCategory Theory
dc.subject18E10;18G20;16G10;16G20;16G30
dc.titleNoetherian hereditary categories satisfying Serre duality
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