5 papers · 1 filter
On modules with reducible complexity
Olgur Celikbas, Arash Sadeghi, Naoki Taniguchi
In this paper we generalize a result, concerning a depth equality over local rings, proved independently by Araya and Yoshino, and Iyengar. Our result exploits complexity, a concep…
On the vanishing of theta invariant and a conjecture of Huneke and Wiegand
Olgur Celikbas
Huneke and Wiegand conjectured that, if is a finitely generated, non-free, torsion-free module with rank over a one-dimensional Cohen-Macaulay local ring , then the tensor p…
On the second rigidity theorem of Huneke and Wiegand
Olgur Celikbas, Ryo Takahashi
In 2007 Huneke and Wiegand announced in an erratum that one of the conclusions of their depth formula theorem is flawed due to an incorrect convention for the depth of the zero mod…
Generalized Gorenstein Arf rings
Ela Celikbas, Olgur Celikbas, Shiro Goto +1
In this paper we study generalized Gorenstein Arf rings; a class of one-dimensional Cohen-Macaulay local Arf rings that is strictly contained in the class of Gorenstein rings. We o…
On modules with self Tor vanishing
Olgur Celikbas, Henrik Holm
The long-standing Auslander and Reiten Conjecture states that a finitely generated module over a finite-dimensional algebra is projective if certain Ext-groups vanish. Several auth…