On the non-vanishing of local cohomology modules

Siamak Yassemi

Displaying similar documents to “On the non-vanishing of local cohomology modules”

Adic-completion and some dual homological results.

Anne-Marie Simon (1992)

Publicacions Matemàtiques

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Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors U_i ^a of the a-adic completion functor, called local homology functors, and the local cohomology functors H_a ⁱ. Some dual results are obtained for these U_i ^a, and also inequalities involving both local homology...

Topological computation of local cohomology multiplicities.

R. García López, C. Sabbah (1998)

Collectanea Mathematica

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We express the Lyubeznik numbers of the local ring of a complex isolated singularity in terms of Betti numbers of the associated real link.

On some properties of $\oplus$ -supplemented modules.

Idelhadj, A., Tribak, R. (2003)

International Journal of Mathematics and Mathematical Sciences

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Minimal injective resolutions

Robert M. Fossum (1974-1975)

Séminaire Dubreil. Algèbre et théorie des nombres

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Multiplication modules and related results

Shahabaddin Ebrahimi Atani (2004)

Archivum Mathematicum

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Let $R$ be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication $R$ -module (see [8], [12] and [3]).

Minimal injective resolutions with applications to dualizing modules and Gorenstein modules

Robert Fossum, Hans-Bjorn Foxby, Phillip Griffith, Idun Reiten (1975)

Publications Mathématiques de l'IHÉS

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Cofiniteness of generalized local cohomology modules

Kamran Divaani-Aazar, Reza Sazeedeh (2004)

Colloquium Mathematicae

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Let denote an ideal of a commutative Noetherian ring R, and M and N two finitely generated R-modules with pd M < ∞. It is shown that if either is principal, or R is complete local and is a prime ideal with dim R/ = 1, then the generalized local cohomology module $H_{}^{i} (M, N)$ is -cofinite for all i ≥ 0. This provides an affirmative answer to a question proposed in [13].

On endomorphisms of multiplication and comultiplication modules

H. Ansari-Toroghy, F. Farshadifar (2008)

Archivum Mathematicum

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Let $R$ be a ring with an identity (not necessarily commutative) and let $M$ be a left $R$ -module. This paper deals with multiplication and comultiplication left $R$ -modules $M$ having right ${End}_{R} (M)$ -module structures.