On a conjecture of Auslander and Reiten

Craig Huneke, Graham J. Leuschke

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

In studying Nakayama's 1958 conjecture on rings of infinite dominant dimension, Auslander and Reiten proposed the following generalization: Let Λ be an Artin algebra and M a Λ -generator such that ExtΛi (M, M) = 0 for all i ≥ 1; then M is projective. This conjecture makes sense for any ring. We establish Auslander and Reiten's conjecture for excellent Cohen-Macaulay normal domains containing the rational numbers, and slightly more generally.

Original languageEnglish (US)
Pages (from-to)781-790
Number of pages10
JournalJournal of Algebra
Volume275
Issue number2
DOIs
StatePublished - May 15 2004

ASJC Scopus subject areas

  • Algebra and Number Theory

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