10 citations · 11 across the 6 of their papers we have counts for
13 papers
Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology
Olgur Celikbas, Uyen Le, Hiroki Matsui +1
In this paper we study a long-standing conjecture of Huneke and Wiegand which is concerned with the torsion submodule of certain tensor products of modules over one-dimensional loc…
A study of the cohomological rigidity property
Mohsen Asgharzadeh, Olgur Celikbas, Arash Sadeghi
In this paper, motivated by a work of Luk and Yau, and Huneke and Wiegand, we study various aspects of the cohomological rigidity property of tensor product of modules over commuta…
On an example concerning the second rigidity theorem
Olgur Celikbas, Hiroki Matsui, Arash Sadeghi
In this paper we revisit an example of Celikbas and Takahashi concerning the reflexivity of tensor products of modules. We study Tor-rigidity and the Hochster--Huneke graph with ve…
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…
Two generalizations of Auslander-Reiten duality and applications
Arash Sadeghi, Ryo Takahashi
This paper extends Auslander-Reiten duality in two directions. As an application, we obtain various criteria for freeness of modules over local rings in terms of vanishing of Ext m…
Notes on linkage of modules
Arash Sadeghi
Let R be a Cohen-Macaulay local ring. It is shown that under some mild conditions, the Cohen-Macaulayness property is preserved under linkage. We also study the connection of (S_n)…