Showing math.ACShow all
2 papers · 1 filter
math.AC2026
Non-Noetherian Bass and Betti numbers
Mohsen Asgharzadeh, Elham Mahdavi
This paper investigates the vanishing and non-vanishing of Betti and Bass numbers for non-finitely generated modules. We prove that for \(d\)-dimensional Cohen--Macaulay local ring…
math.AC2026
Remarks on modules of finite projective dimension
Mohsen Asgharzadeh, Elham Mahdavi
We investigate homological and depth-theoretic properties of finitely generated modules of finite projective dimension over Noetherian local rings. A central theme is the study of…