6 citations · 16 across the 8 of their papers we have counts for
9 papers
Modules whose finiteness dimensions coincide with their cohomological dimensions
Kamran Divaani-Aazar, Akram Ghanbari Doust, Massoud Tousi +1
Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely generated R-modules M whose a-finiteness and a-cohomological dimensions are equal. In particul…
Cohomological dimension and relative Cohen-Maculayness
Kamran Divaani-Aazar, Akram Ghanbari Doust, Massoud Tousi +1
Let R be a commutative Noetherian (not necessarily local) ring with identity and a be a proper ideal of R. We introduce a notion of a-relative system of parameters and characterize…
On flat and Gorenstein flat dimensions of local cohomology modules
Majid Rahro Zargar, Hossein Zakeri
Let $\fa$ be an ideal of a Noetherian local ring and let be a semidualizing -module. For an -module , we denote any of the quantities $\fd_R X$, $\Gfd_R X$ and $\G…
Filter regular sequences and generalized local cohomology modules
Ali Fathi, Abolfazl Tehranian, Hossein Zakeri
Let , be ideals of a commutative Noetherian ring and let , be finite -modules. The concept of an -filter grade of on is intr…
On injective and Gorenstein injective dimensions of local cohomology modules
Majid Rahro Zargar, Hossein Zakeri
Let $(R,\fm)$ be a commutative Noetherian local ring and let be an -module which is a relative Cohen-Macaulay with respect to a proper ideal $\fa$ of and set $n:=\h_{M}\…
G--Gorenstein modules
Mohsen Aghajani, Hossein Zakeri
Let be a commutative Noetherian ring. In this paper, we study those finitely generated -modules whose Cousin complexes provide Gorenstein injective resolutions. We call such…