1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AC2008
On the notion of Cohen-Macaulayness for non Noetherian rings
Mohsen Asgharzadeh, Massoud Tousi
There exist many characterizations of Noetherian Cohen-Macaulay rings in the literature. These characterizations do not remain equivalent if we drop the Noetherian assumption. The…
math.AC2008
Cohen-Macaulayness with respect to Serre classes
Mohsen Asgharzadeh, Massoud Tousi
Let be a commutative Noetherian ring. The notion of regular sequences with respect to a Serre class of -modules is introduced and some of their essential properties are give…
math.AC2008★ 1 cited
The finiteness dimension of local cohomology modules and its dual notion
Mohsen Asgharzadeh, Kamran Divaani-Aazar, Massoud Tousi
Let \fa be an ideal of a commutative Noetherian ring R and M a finitely generated R-module. We explore the behavior of the two notions f_{\fa}(M), the finiteness dimension of M wit…