4 papers
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…
Constants of explosive limits
Ali M. Nassimi, Mohammad Jafari, Hossein Farrokhpour +1
This work defines density factor as the ratio of before ignition density to after ignition density of the ignition mixture. This work provides an estimation method for explosive li…
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…
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} (\…