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math.RT2019
A functorial approach to categorical resolutions
R. Hafezi, M. H. Keshavarz
Using a relative version of Auslander's formula, we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution. Thi…
math.RT2017
Auslander's Formula for contravariantly finite subcategories
Javad Asadollahi, Rasool Hafezi, Mohammad H. Keshavarz
A relative version of Auslander's formula with respect to a contravariantly finite subcategory will be given. Dual version will be treated. Several examples and applications will b…
math.RT2015
Minimal Injective Resolutions and Auslander-Gorenstein Property for Path Algebras
Javad Asadollahi, Rasool Hafezi, Mohammad Hosein Keshavarz
Let be a ring and be a finite and acyclic quiver. We present an explicit formula for the injective envelopes and projective precovers in the category $\rm{Rep} (\…