3 citations · 3 across the 5 of their papers we have counts for
5 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 dualizing complexes in terms of -dimension
Majid Rahro Zargar
Let $(R,\fm)$ be a local ring and be a homologically bounded and finitely generated -complex. Then, we prove that is a dualizing complex of if and only if is a C…
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}\…