Auslander-Reiten conjecture and Auslander-Reiten duality
classification
🧮 math.AC
keywords
auslander-reitenconjecturedualitylocalringsalgebrasarayacertain
read the original abstract
Motivated by a result of Araya, we extend the Auslander-Reiten duality theorem to Cohen-Macaulay local rings. We also study the Auslander-Reiten conjecture, which is rooted in Nakayama's work on finite dimensional algebras. One of our results detects a certain condition that forces the conjecture to hold over local rings of positive depth.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.