Cofiniteness of generalized local cohomology modules

Kamran 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 -