Finiteness in derived categories of local rings

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

New homotopy invariant finiteness conditions on modules over commutative rings are introduced, and their properties are studied systematically. A number of finiteness results for classical homological invariants like flat dimension, injective dimension, and Gorenstein dimension, are established. It is proved that these specialize to give results concerning modules over complete intersection local rings. A noteworthy feature is the use of techniques based on thick subcategories of derived categories.
40 pages. Minor revisions. To appear in Commentarii Math. Helvetici

Keywords

Commutative Algebra, Category Theory, 13D05, 13D99 (primary). 18E30, 18G99 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/70692

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404034
 http://arxiv.org/abs/math/0404034

Collections

arXiv