# Cofiniteness of generalized local cohomology modules

Kamran Divaani-Aazar; Reza Sazeedeh

Colloquium Mathematicae (2004)

- Volume: 99, Issue: 2, page 283-290
- ISSN: 0010-1354

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topKamran Divaani-Aazar, and Reza Sazeedeh. "Cofiniteness of generalized local cohomology modules." Colloquium Mathematicae 99.2 (2004): 283-290. <http://eudml.org/doc/285027>.

@article{KamranDivaani2004,

abstract = {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].},

author = {Kamran Divaani-Aazar, Reza Sazeedeh},

journal = {Colloquium Mathematicae},

keywords = {generalized local cohomology; cofiniteness; spectral sequences},

language = {eng},

number = {2},

pages = {283-290},

title = {Cofiniteness of generalized local cohomology modules},

url = {http://eudml.org/doc/285027},

volume = {99},

year = {2004},

}

TY - JOUR

AU - Kamran Divaani-Aazar

AU - Reza Sazeedeh

TI - Cofiniteness of generalized local cohomology modules

JO - Colloquium Mathematicae

PY - 2004

VL - 99

IS - 2

SP - 283

EP - 290

AB - 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].

LA - eng

KW - generalized local cohomology; cofiniteness; spectral sequences

UR - http://eudml.org/doc/285027

ER -

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