Noetherian hereditary categories satisfying Serre duality

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In 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 changes

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Representation Theory, Category Theory, 18E10;18G20;16G10;16G20;16G30

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http://salesiana.dossiersoluciones.com/handle/123456789/79510

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911242
 http://arxiv.org/abs/math/9911242

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arXiv