Ascent properties of Auslander categories

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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 languageEnglish
Pages (from-to)76-108
Number of pages33
JournalCanadian Journal of Mathematics
Volume61
Issue number1
DOIs
StatePublished - Feb 2009

Keywords

  • Ascent properties
  • Auslander categories
  • Auslander-buchsbaum formulas
  • Gorenstein dimensions

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