Olgur Celikbas

activity

20092026

most citedAuslander-Reiten conjecture and Auslander-Reiten duality

43 citations · 243 across the 45 of their papers we have counts for

collaborators

Showing 2016 · math.ACShow all

3 papers · 2 filters

math.AC2016

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 $M$ that has no extensions with $M \oplus Λ$ over an Artin algebra $Λ$ must be projective. Th…

math.AC2016

Vanishing of relative homology and depth of tensor products

Olgur Celikbas, Li Liang, Arash Sadeghi

For finitely generated modules $M$ and $N$ over a Gorenstein local ring $R$ , one has $d e pt h M + d e pt h N = d e pt h (M \otimes N) + d e pt h R$ , i.e., the depth formula holds, if $M$ and $N$ …

math.AC2016

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 $R$ , if a Cohen-Macaulay $R$ -module $M$ of grade $g$ is linked to an $R$ -module $N…