University of Tehran

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20022008

most citedMorgan-Morgan-NUT disk space via the Ehlers transformation

9 citations

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8 papers · 1 filter

math.AC2008

Betti numbers of transversal monomial ideals

Rahim Zaare-Nahandi

In this paper, by a modification of a previously constructed minimal free resolution for a transversal monomial ideal, the Betti numbers of this ideal is explicitly computed. For c…

math.AC2007

Comaximal graph of commutative rings

Hamid Reza Maimani, Maryam Salimi, Asiyeh Sattari +1

Let $R$ be a commutative ring with identity. Let $Γ (R)$ be a graph with vertices as elements of $R$ , where two distinct vertices $a$ and $b$ are adjacent if and only if $R a + R b = R$ .…

math.AC2007★ 3 cited

Stanley decompositions and partitionable simplicial complexes

Juergen Herzog, Ali Soleyman Jahan, Siamak Yassemi

We study Stanley decompositions and show that Stanley's conjecture on Stanley decompositions implies his conjecture on partitionable Cohen-Macaulay simplicial complexes. We also pr…

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.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}\…