On a conjecture of Auslander and Reiten

Details On a conjecture of Auslander and Reiten On a conjecture of Auslander and Reiten

2003-04-30

arxiv.org/abs/math/0305001v2

Mathematics

Commutative Algebra

12 pages, minor changes, this version to appear

Scientific paper

In studying Nakayama's 1958 conjecture on rings of infinite dominant dimension, Auslander and Reiten proposed the following generalization: Let Lambda be an Artin algebra and M a Lambda-generator such that Ext^i_Lambda(M,M)=0 for all i \geq 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.

Affiliated with

Also associated with

No associations

Rating

On a conjecture of Auslander and Reiten does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a conjecture of Auslander and Reiten, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a conjecture of Auslander and Reiten will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272267