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 | |
| State | Published - Feb 2009 |
Keywords
- Ascent properties
- Auslander categories
- Auslander-buchsbaum formulas
- Gorenstein dimensions
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Cite this
Christensen, L. W., & Holm, H. (2009). Ascent properties of Auslander categories. Canadian Journal of Mathematics, 61(1), 76-108. https://doi.org/10.4153/CJM-2009-004-x