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math.AC2024
Quasilifting of hulls and depth of tensor product of modules
Sutapa Dey, Amit Tripathi
We investigate the depth of the tensor product of finitely generated modules over local rings. One of the main ingredients of our approach is a lifting construction introduced by H…
math.AC2023
On Auslander`s depth formula
Shashi Ranjan Sinha, Amit Tripathi
We show that if Auslander`s depth formula holds for non-zero Tor-independent modules over Cohen-Macaulay local rings of dimension 1, then it holds for such modules over any Cohen-M…