3 papers
math.AC2026
Weak and Serre Lifting of Cyclic Modules and the Liftability of Auslander Transposes
Shashi Ranjan Sinha, Amit Tripathi
Let be a local ring, a nonzerodivisor, and . We characterize weak and Serre liftability of cyclic -modules under suitable hypotheses, obtaining complete-interse…
math.AC2024
On a relative dependency formula
Shashi Ranjan Sinha
Celikbas, Liang and Sadeghi established a one-sided inequality for the relative version of Jorgensen's dependency formula and questioned whether it would be an equality. In this pa…
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…