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

Published 28 Sep 2011 in math.RT | (1109.6072v1)

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.

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