Ascent Properties of Auslander Categories

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let R be a homomorphic image of a Gorenstein local ring. Recent work has shown that there is a bridge between Auslander categories and modules of finite Gorenstein homological dimensions over R. We use Gorenstein dimensions to prove new results about Auslander categories and vice versa. For example, we establish base change relations between the Auslander categories of the source and target rings in a homomorphism R -> S of finite flat dimension.
Minor corrections; example added; 30 pp. To appear in Canad. J. Math. Also available from authors' homepages http://www.math.unl.edu/~lchristensen3/publications.html and http://home.imf.au.dk/holm/publications.html

Keywords

Commutative Algebra, 13D05, 13D07, 13D25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/102291

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509570
 http://arxiv.org/abs/math/0509570

Collections

arXiv