M. Dibaei

activity

20032005

most citedAttached primes of the top local cohomology modules with respect to an ideal (II)

4 citations · 5 across the 6 of their papers we have counts for

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math.AC2005★ 1 cited

Finiteness of extension functors of local cohomology modules

Mohammad T. Dibaei, Siamak Yassemi

Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ and $M$ a finitely generated $R$ --module. Let $t$ be a non-negative integer such that $\H^i_\fa(M)$ is $\fa$--cofini…

math.AC2005★ 4 cited

Attached primes of the top local cohomology modules with respect to an ideal (II)

Mohammad T. Dibaei, Siamak Yassemi

For a finitely generated module $M$ , over a commutative Noetherian local ring $(R, m)$ , it is shown that there exist only a finite number of non--isomorphic top local co…

math.AC2004

A study of Cousin complexes through the dualizing complexes

Mohammad T. Dibaei

For the Cousin complex of certain modules, we investigate finiteness of cohomology modules, local duality property and injectivity of its terms. The existence of canonical modules…

math.AC2004

Associated primes and cofiniteness of local cohomology modules

Mohammad T. Dibaei, Siamak Yassemi

Let $a$ be an ideal of Noetherian ring $R$ and let $M$ be an $R$ -module such that $Ext_{R}^{i} (R / a, M)$ is finite $R$ -module for every $i$ . If $s$ is the…

math.AC2004

Generalized local cohomology and the Intersection Theorem

Mohammad T. Dibaei, Siamak Yassemi

Let $R$ be commutative Noetherian ring and let $\fa$ be an ideal of $R$ . For complexes $X$ and $Y$ of $R$ --modules we investigate the invariant $\inf{\mathbf R}Γ_{\fa}({\mathbf R}\…

math.AC2003

Cohomological dimension of complexes

Mohammad T. Dibaei, Siamak Yassemi

In the derived category of the category of modules over a commutative Noetherian ring $R$ , we define, for an ideal $\fa$ of $R$ , two different types of cohomological dimensions of…