A Generalization of the Auslander-Reiten Conjecture for the Bounded Derived Category

Abstract

We study the bounded derived category $\D^b(\Rmod)$ of a left Noetherian ring $R$. We give a version of the Generalized Auslander-Reiten Conjecture for $\D^b(\Rmod)$ that is equivalent to the classical statement for the module category and is preserved under derived equivalence.

Cited by in corpus (3)

• Auslander-Reiten conjecture and Auslander-Reiten duality
• Finitistic Extension Degree
• Ext-finite modules for weakly symmetric algebras with radical cube zero