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.

18 pages

References in corpus (2)

• Auslander correspondence
• On the grade of modules over Noetherian rings