Two generalizations of Auslander-Reiten duality and applications

Abstract

This paper extends Auslander-Reiten duality in two directions. As an application, we obtain various criteria for freeness of modules over local rings in terms of vanishing of Ext modules, which recover a lot of known results on the Auslander-Reiten conjecture.

References in corpus (1)

• Auslander-Reiten conjecture and Auslander-Reiten duality

Cited by in corpus (1)

• Auslander-Reiten conjecture and finite injective dimension of Hom