4 papers · 1 filter
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…
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…
Homology with the theme of Matlis
Mohsen Asgharzadeh, Elham Mahdavi
Matlis proved a lot of homological properties of the fraction field of an integral domain. In this paper, we simplify and extend some of them from 1-dimensional (resp. rank one) ca…
Freeness criteria via vanishing of Tor
Mohsen Asgharzadeh, Elham Mahdavi
We investigate some aspects of the module equipped with the property that implies that is free. This has some applications.