22 citations · 57 across the 23 of their papers we have counts for
4 papers · 1 filter
On the ideal case of a conjecture of Auslander and Reiten
Olgur Celikbas, Kei-ichiro Iima, Arash Sadeghi +1
A celebrated conjecture of Auslander and Reiten claims that a finitely generated module that has no extensions with over an Artin algebra must be projective. Th…
Vanishing of relative homology and depth of tensor products
Olgur Celikbas, Li Liang, Arash Sadeghi
For finitely generated modules and over a Gorenstein local ring , one has , i.e., the depth formula holds, if and …
Symmetry in vanishing of Tate cohomology over Gorenstein rings
Arash Sadeghi
We investigate symmetry in the vanishing of Tate cohomology for finitely generated modules over local Gorenstein rings. For finitely generated R-modules M and N over Gorenstein loc…
Associated Primes and Syzygies of Linked Modules
Olgur Celikbas, Mohammad T. Dibaei, Mohsen Gheibi +2
Motivated by the notion of geometrically linked ideals, we show that over a Gorenstein local ring , if a Cohen-Macaulay -module of grade is linked to an -module $N…