Siamak Yassemi

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

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

collaborators

6 papers

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

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★ 1 cited

Special homological dimensions and Intersection Theorem

Tirdad Sharif, Siamak Yassemi

Let $(R,\fm)$ be commutative Noetherian local ring. It is shown that $R$ is Cohen--Macaulay ring if there exists a Cohen--Macaulay finite (i.e. finitely generated) $R$ --module with…

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.AC2004

Characterizing local rings via homological dimensions and regular sequences

Shokrollah Salarian, Sean Sather-Wagstaff, Siamak Yassemi

Let (R,m) be a Noetherian local ring of depth d and C a semidualizing R-complex. Let M be a finite R-module and t an integer between 0 and d. If G_C-dimension of M/IM is finite for…