Categorical Resolutions of Bounded Derived Categories

Javad Asadollahi, Rasool Hafezi, Mohammad H. Keshavarz

Published 2016-12-31Version 1

Using a relative version of Auslander's formula, we show that bounded derived category of every artin algebra admits a categorical resolution. This, in particular, implies that bounded derived categories of artin algebras of finite global dimension determine bounded derived categories of all artin algebras. This in a sense provides a categorical level of Auslander's result stating that artin algebras of finite global dimension determine all artin algebras.