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Showing 2008 · math.ACShow all
3 papers · 2 filters
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
Duality for a Cohen-Macaulay local ring
Mohammad Ali Esmkhani, Massoud Tousi
Let $(R,\fm)$ be a Cohen-Macaulay local ring. If has a canonical module, then there are some interesting results about duality for this situation. In this paper, we show that o…
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…