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We study Stanley decompositions and show that Stanleyâ€™s conjecture on Stanley decompositions implies his conjecture on partitionable Cohenâ€“Macaulay simplicial complexes. We also prove theseâ€¦ (More)

- Mohammad T. Dibaei, S. Yassemi
- 2004

Let a be an ideal of Noetherian ring R and let M be an R-module such that Ext i R (R/a, M) is finite R-module for every i. If s is the first integer such that the local cohomology module H a (M) isâ€¦ (More)

- MOHAMMAD T. DIBAEI, S. Yassemi
- 2008

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 nonâ€“ isomorphic top local cohomology modules H a (M), for allâ€¦ (More)

We prove versions of results of Foxby and Holm about modules of finite (Gorenstein) injective dimension and finite (Gorenstein) projective dimension with respect to a semidualizing module. We alsoâ€¦ (More)

- Mohammad T. Dibaei, S. Yassemi
- 2003

In the derived category of the category of modules over a commutative Noetherian ring R, we define, for an ideal a of R, two different types of cohomological dimensions of a complex X in a certainâ€¦ (More)

- Leila Khatami, S. Yassemi
- 2005

In this paper a generalized version of the Bass formula is proved for finitely generated modules of finite Gorenstein injective dimension over a commutative noetherian ring.

We introduce sequentially Sr modules over a commutative graded ring and sequentially Sr simplicial complexes. This generalizes two properties for modules and simplicial complexes: being sequentiallyâ€¦ (More)

- Mohammad T. Dibaei, S. Yassemi
- 2005

Let R be a commutative Noetherian ring, a an ideal of R and M a finitely generated Râ€“ module. Let t be a non-negative integer such that H a (M) is aâ€“cofinite for all i < t. It is wellâ€“known that Homâ€¦ (More)

- Shokrollah Salarian, Sean Sather-Wagstaff, S. Yassemi
- 2006

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 the GC -dimension of M/aM is finite for all ideals aâ€¦ (More)

- Leila Khatami, S. Yassemi
- 2008

Let (R,m, k) be a noetherian local ring. It is well-known that R is regular if and only if the injective dimension of k is finite. In this paper it is shown that R is Gorenstein if and only if theâ€¦ (More)