22 citations · 57 across the 23 of their papers we have counts for
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math.AC2018★ 2 cited
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…
math.AC2018★ 4 cited
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…
math.AC2018★ 2 cited
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)…