8 citations · 23 across the 28 of their papers we have counts for
4 papers · 2 filters
On relative Auslander algebras
Javad Asadollahi, Rasool Hafezi
Relative Auslander algebras were introduced and studied by Beligiannis. In this paper, we apply intermediate extension functors associated to certain recollements of functor catego…
Duality and Serre functor in homotopy categories
J. Asadollahi, N. Asadollahi, R. Hafezi +1
For a (right and left) coherent ring , we show that there exists a duality between homotopy categories ${\mathbb{K}}^{\rm{b}}({\rm mod}{\mbox{-}}A^{\rm op})$ and ${\mathbb{K}}^{…
Auslander-Reiten duality for subcategories
Rasool Hafezi
Auslander-Reiten duality for module categories is generalized to some sufficiently nice subcategories. In particular, our consideration works for , the su…
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…