Classifying subcategories of modules

Authors
Hovey, M
Citation
M. Hovey, Classifying subcategories of modules, T AM MATH S, 353(8), 2001, pp. 3181-3191
Citations number
12
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
353
Issue
8
Year of publication
2001
Pages
3181 - 3191
Database
ISI
SICI code
0002-9947(2001)353:8<3181:CSOM>2.0.ZU;2-N
Abstract
Let R be the quotient of a regular coherent commutative ring by a finitely generated ideal. In this paper, we classify all abelian subcategories of fi nitely presented R-modules that are closed under extensions. We also classi fy abelian subcategories of arbitrary R-modules that are closed under exten sions and coproducts, when R is commutative and Noetherian. The method reli es on comparison with the derived category of R.