Ascent properties of Auslander categories

Lars Winther Christensen; Henrik Holm

doi:10.4153/CJM-2009-004-x

Ascent properties of Auslander categories

Lars Winther Christensen, Henrik Holm

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

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 of a homomorphism: R→ S of finite flat dimension.

Original language	English
Pages (from-to)	76-108
Number of pages	33
Journal	Canadian Journal of Mathematics
Volume	61
Issue number	1
DOIs	https://doi.org/10.4153/CJM-2009-004-x
State	Published - Feb 2009

Keywords

Ascent properties
Auslander categories
Auslander-buchsbaum formulas
Gorenstein dimensions

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Ascent properties of Auslander categories

Abstract

Keywords

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