Classifying Serre subcategories of finitely presented modules

Garkusha, Grigory and Prest, Mike (2006) Classifying Serre subcategories of finitely presented modules. [MIMS Preprint]

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Abstract

Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes D_{per}(R) 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.

Item Type:	MIMS Preprint
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 13 Commutative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology
Depositing User:	Professor Mike Prest
Date Deposited:	25 Aug 2006
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/584

Available Versions of this Item

• Classifying thick subcategories of perfect complexes. (deposited 22 May 2006)
  • Classifying Serre subcategories of finitely presented modules. (deposited 25 Aug 2006) [Currently Displayed]

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