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Preprint Number 24

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24. G. Garkusha and M. Prest
Classifying Serre subcategories of finitely presented modules
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Abstract:

Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of (iso-classes for) indecomposable injective modules are essentially used.

Mathematics Subject Classification: 03, 13, 55

Keywords and phrases: finitely presented module, Serre subcategory, Ziegler spectrum, perfect complex, commutative coherent ring

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