10 citations · 11 across the 8 of their papers we have counts for
4 papers · 1 filter
Resolving subcategories closed under certain operations and a conjecture of Dao and Takahashi
Arash Sadeghi, Ryo Takahashi
Let R be a commutative Noetherian local ring with residue field k. Let X be a resolving subcategory of finitely generated R-modules. This paper mainly studies when X contains k or…
Linkage of modules with respect to a semidualizing module
Mohammad-T. Dibaei, Arash Sadeghi
The notion of linkage with respect to a semidualizing module is introduced. It is shown that over a Cohen-Macaulay local ring with canonical module, every Cohen-Macaulay module of…
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…
On the depth of tensor products of modules
Arash Sadeghi
The depth of tensor product of modules over a Gorenstein local ring is studied. For finitely generated modules M and N over a Gorenstein local ring R, under some assumptions on the…