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Classifying Serre subcategories of finitely presented modules |
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| Authors: | Grigory Garkusha Mike Prest |
| Affiliation: | Department of Mathematics, Swansea University, SA2 8PP Swansea, United Kingdom ; Department of Mathematics, University of Manchester, Oxford Road, M13~9PL Manchester, United Kingdom |
| Abstract: | Given a commutative coherent ring  , 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 isomorphism classes of indecomposable injective modules are used in an essential way. |
| Keywords: | Thick subcategories perfect complexes Ziegler and Zariski spectra |
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