Auslander-type conditions and cotorsion pairs
Abstract
We study the properties of rings satisfying Auslander-type conditions. If an artin algebra $\Lambda$ satisfies the Auslander condition (that is, $\Lambda$ is an $\infty$-Gorenstein artin algebra), then we construct two kinds of subcategories which form functorially finite cotorsion pairs.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- February 2007
- DOI:
- 10.48550/arXiv.math/0702492
- arXiv:
- arXiv:math/0702492
- Bibcode:
- 2007math......2492H
- Keywords:
-
- Mathematics - Rings and Algebras;
- Mathematics - Representation Theory
- E-Print:
- 18 pages