2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79510In 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.Final version; minor changesRepresentation TheoryCategory Theory18E10;18G20;16G10;16G20;16G30text