Ali Mahin Fallah

collaborators

2 papers

math.RT2025

Cotilting modules and Gorenstein homological dimensions

Kamran Divaani-Aazar, Ali Mahin Fallah, Massoud Tousi

For a dualizing module $D$ over a commutative Noetherian ring $R$ with identity, it is known that its Auslander class $A_{D} (R)$ (respectively, Bass class $\math…

math.RT2025

On the Wakamatsu tilting conjecture

Kamran Divaani-Aazar, Ali Mahin Fallah, Massoud Tousi

Let R be an associative ring with identity. We establish that the generalized Auslander-Reiten conjecture implies the Wakamatsu tilting conjecture. Furthermore, we prove that any W…