22 citations · 29 across the 9 of their papers we have counts for
9 papers
On the dimension of cofinite modules
Majid Rahro Zargar, Ghader Ghasemi
Let be an ideal of a commutative Noetherian complete local ring . In the present paper, we establish the equality $\dim R/(I+\Ann_R M)=\dim M$ for all -cofinite -modul…
Numerical aspects of complexes of finite homological dimensions
Majid Rahro Zargar, Mohsen Gheibi
Let $(R,\fm)$ be a local ring, and let be a semidualizing complex. We establish the equality $r_R(Z) = ν(\Ext^{g-\inf C}_R(Z,C))μ^{\depth C}_R(\mathfrak{m}, C)$ for a homologic…
Some Characterizations of Relative Sequentially Cohen-Macaulay and Relative Cohen-Macaulay Modules
Majid Rahro Zargar
Let be an -module over a Noetherian ring and be an ideal of with . First, we prove that is finite -relat…
The derived category analogues of Faltings' Local-global Principle and Annihilator Theorems
Kamran Divaani-Aazar, Majid Rahro Zargar
Let be a specialization closed subset of $\Spec R$ and a homologically left-bounded complex with finitely generated homologies. We establish Faltings' Local-globa…
Homological dimensions of rigid modules
Olgur Celikbas, Mohsen Gheibi, Majid Rahro Zargar +1
We obtain various characterizations of commutative Noetherian local rings $(R, \fm)$ in terms of homological dimensions of certain finitely generated modules. For example, we estab…
Some duality and equivalence results
Majid Rahro Zargar
Let $(R,\fm)$ be a relative Cohen-Macaulay local ring with respect to an ideal $\fa$ of and set $c:=\h\fa$. In this paper, we investigate some properties of the Matlis dual $\H…
On the relative Cohen-Macaulay modules
Majid Rahro Zargar
Let be a commutative Noetherian local ring and let $\fa$ be a proper ideal of . A non-zero finitely generated -module is called relative Cohen-Macaulay with respect t…
Local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
Majid Rahro Zargar
Let $(R,\fm)$ be a local ring and let be a semidualizing --module. In this paper, we are concerned in --injective and --injective dimensions of certain local cohom…
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}\…