17 citations · 40 across the 43 of their papers we have counts for
48 papers
Descent along flat composed with radicalization
Mohsen Asgharzadeh
We study the following general situation. Let be a finite flat morphism of regular rings of zero (resp. prime) characteristic. For , put and…
Homological Detection by Perfectoid Algebras
Mohsen Asgharzadeh, Ryo Ishizuka
We first establish estimates for the projective and injective dimensions for quotients of perfectoid algebras by radical ideals. As applications, we obtain homological characteriza…
Perfect closure detects injective dimension
Mohsen Asgharzadeh
Let be a complete noetherian local ring of prime characteristic , and let denote its perfect closure. We prove that a finitely generated \(R\)-module has fini…
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…
A note on UFD
Mohsen Asgharzadeh
We investigate conditions under which height-one ideals are principal. As a representative case, let be a strongly normal, almost factorial, complete intersection local ring, a…
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…