12 citations · 15 across the 16 of their papers we have counts for
18 papers
On Hellus--Lyubeznik--Yildirim's conjecture of local cohomology modules
Alberto F. Boix, Majid Eghbali
The goal of this paper is to study the so--called Hellus--Lyubeznik--Yildirim (HLY) conjecture, that predicts the following: given a regular local ring , and any…
Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
André Dosea, Majid Eghbali, Cleto B. Miranda-Neto
We study the surjectivity of certain maps involving local cohomology modules, which we can realize as a dual version of part of the investigation developed by Bhatt, Blickle, Lyube…
Certain endomorphism rings of local cohomology modules and Lyubeznik numbers
Alberto F. Boix, Majid Eghbali
The goal of this paper is twofold; on the one hand, motivated by questions raised by Schenzel, we explore situations where the Hartshorne--Lichtenbaum Vanishing Theorem for local c…
On a lower bound of de Rham depth of affine cone of a projective space in characteristic zero
Majid Eghbali
In this paper, we find out a lower bound of the de Rham depth of affine cone of a projective space.
On the equality of de Rham depth and formal grade in characteristic zero
Majid Eghbali
Let be a non-singular proper closed subset of projective -space over a field of characteristic zero and let be t…
A note on the use of Frobenius map and D-modules in local cohomology
Majid Eghbali
The Frobenius depth denoted by F-depth defined by Hartshorne-Speiser in 1977 and later by Lyubeznik in 2006, in a different way, for rings of positive characteristic. The first aim…
Vanishing of local cohomology and set-theoretically Cohen-Macaulay ideals
Majid Eghbali, Alberto F. Boix
We generalize some known results on the relation between the cohomological and projective dimension. Then we examine the set-theoretically Cohen-Macaulay ideals to find some cohomo…
Lyubeznik Tables of Ideals of Cycle Graphs
Parvaneh Nadi, Farhad Rahmati, Majid Eghbali
Let R = K[x_1; : : : ; x_n] be a polynomial ring over a field K, and I := I_C_n be an edge ideal of n-cycle graph C_n. In the present paper, we compute the last column of the Lyube…
On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers
Kh. Ahmadi-Amoli, E. Banisaeed, M. Eghbali +1
Let $(R,\fm)$ be a local ring and an ideal. The aim of the present paper is twofold. At first we continue the investigation to compare $\fgrade(I,R)$ with $\depth R/I$ and furt…
Annihilators of local cohomology modules and simplicity of rings of differential operators
Alberto F. Boix, Majid Eghbali
One classical topic in the study of local cohomology is whether the non-vanishing of a specific local cohomology module is equivalent to the vanishing of its annihilator; this has…
On cohomological invariants of local rings in positive characteristic
Majid Eghbali
The Frobenius depth denoted by $\Fdepth$ defined by Hartshorne-Speiser in 1977 and later by Lyubeznik in 2006, in a different way, for rings of positive characteristic. The aim of…
A note on the Annihilator of local cohomology modules in characteristic zero
Majid Eghbali
We give an alternative proof to the annihilator of local cohomology in characteristic zero which was proved by Lyubeznik.
On cohomological dimension and depth under linkage
M. Eghbali, N. Shirmohammadi
Some relations between cohomological dimensions and depths of linked ideals are investigated and discussed by various examples.
On top local cohomology modules, Matlis duality and tensor products
M. Y. Sadeghi, M. Eghbali, Kh. Ahmadi-Amoli
Let be an ideal of a local ring with the cohomological dimension of in . In the case that $c=…
A note on some top local cohomology modules
Majid Eghbali
Let $\fa$ be an ideal of a -dimensional commutative Noetherian ring . In this paper we give some information on some last non-zero local cohomology modules known as top local…
On set theoretically and cohomologically complete intersection ideals
Majid eghbali
Let $(R,\fm)$ be a local ring and $\fa$ be an ideal of . The inequalities $$\begin{array}{ll} \ \Ht(\fa) \leq \cd(\fa,R) \leq \ara(\fa) \leq l(\fa) \leq μ(\fa) \end{array}$$ are…
On an endomorphism ring of local cohomology
Majid Eghbali, Peter Schenzel
Let be an ideal of a local ring with For the local cohomology module it is a well-known fact that it vanishes for and is an A…
On Artinianness of Formal Local Cohomology, Colocalization and Coassociated Primes
Majid Eghbali
This paper at first concerns some criteria on Artinianness and vanishing of formal local cohomology modules. Then we consider the cosupport and the set of coassociated primes of th…