Noetherian hereditary categories satisfying Serre duality

Details Noetherian hereditary categories satisfying Serre duality Noetherian hereditary categories satisfying Serre duality

1999-11-30

arxiv.org/abs/math/9911242v2

Mathematics

Representation Theory

Final version; minor changes

Scientific paper

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.

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