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

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