You are here: MIMS > EPrints
MIMS EPrints

2006.115: Classifying Serre subcategories of finitely presented modules

2006.115: Grigory Garkusha and Mike Prest (2006) Classifying Serre subcategories of finitely presented modules.

This is the latest version of this eprint.

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
212 Kb

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 2000 > 03 Mathematical logic and foundations
MSC 2000 > 13 Commutative rings and algebras
MSC 2000 > 55 Algebraic topology
MIMS number:2006.115
Deposited By:Professor Mike Prest
Deposited On:25 August 2006

Available Versions of this Item

Download Statistics: last 4 weeks
Repository Staff Only: edit this item