Vanishing of Ext and Tor over Cohen-Macaulay local rings

Abstract

We consider vanishing of Ext and Tor, especially over Artinian rings. In particular, we prove the Auslander-Reiten conjecture for all commutative local rings in which the cube of the maximal ideal is zero.

This paper appeared in 2004

References in corpus (1)

• On a conjecture of Auslander and Reiten

Cited by in corpus (1)

• Auslander-Reiten conjecture and Auslander-Reiten duality