2 papers
math.AC2017
On the vanishing of self extensions over Cohen-Macaulay local rings
Tokuji Araya, Olgur Celikbas, Arash Sadeghi +1
The celebrated Auslander-Reiten Conjecture, on the vanishing of self extensions of a module, is one of the long-standing conjectures in ring theory. Although it is still open, ther…
math.AC2011
Bounds on the Hilbert-Kunz Multiplicity
Olgur Celikbas, Hailong Dao, Craig Huneke +1
In this paper we give new lower bounds on the Hilbert-Kunz multiplicity of unmixed non-regular local rings, bounding them uniformly away from one. Our results improve previous work…